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Finding the Third Proportional to 35,743.78 and 62,785.13

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Solution

The third proportional to 35,743.78 and 62,785.13 is: 110,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743.78 : 62,785.13 = 62,785.13 : x
  2. Step 2: Convert to fraction form
    35,743.78/62,785.13 = 62,785.13/x
  3. Step 3: Cross multiply
    35,743.78x = 62,785.13 × 62,785.13
  4. Step 4: Simplify right side
    35,743.78x = 3,941,971,921.27
  5. Step 5: Solve for x
    x = 3,941,971,921.27/35,743.78
  6. Step 6: Final answer
    x = 110,284.13

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.