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Finding the Third Proportional to 35,771.63 and 77,689.13

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Solution

The third proportional to 35,771.63 and 77,689.13 is: 168,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,771.63 : 77,689.13 = 77,689.13 : x
  2. Step 2: Convert to fraction form
    35,771.63/77,689.13 = 77,689.13/x
  3. Step 3: Cross multiply
    35,771.63x = 77,689.13 × 77,689.13
  4. Step 4: Simplify right side
    35,771.63x = 6,035,600,143.27
  5. Step 5: Solve for x
    x = 6,035,600,143.27/35,771.63
  6. Step 6: Final answer
    x = 168,725.91

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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.