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Finding the Third Proportional to 35,613.56 and 77,446.13

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Solution

The third proportional to 35,613.56 and 77,446.13 is: 168,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,613.56 : 77,446.13 = 77,446.13 : x
  2. Step 2: Convert to fraction form
    35,613.56/77,446.13 = 77,446.13/x
  3. Step 3: Cross multiply
    35,613.56x = 77,446.13 × 77,446.13
  4. Step 4: Simplify right side
    35,613.56x = 5,997,902,277.52
  5. Step 5: Solve for x
    x = 5,997,902,277.52/35,613.56
  6. Step 6: Final answer
    x = 168,416.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.