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Finding the Third Proportional to 40,523.63 and 65,110.13

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Solution

The third proportional to 40,523.63 and 65,110.13 is: 104,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,523.63 : 65,110.13 = 65,110.13 : x
  2. Step 2: Convert to fraction form
    40,523.63/65,110.13 = 65,110.13/x
  3. Step 3: Cross multiply
    40,523.63x = 65,110.13 × 65,110.13
  4. Step 4: Simplify right side
    40,523.63x = 4,239,328,377.52
  5. Step 5: Solve for x
    x = 4,239,328,377.52/40,523.63
  6. Step 6: Final answer
    x = 104,613.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.