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Finding the Third Proportional to 29,942 and 63,535

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Solution

The third proportional to 29,942 and 63,535 is: 134,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,942 : 63,535 = 63,535 : x
  2. Step 2: Convert to fraction form
    29,942/63,535 = 63,535/x
  3. Step 3: Cross multiply
    29,942x = 63,535 × 63,535
  4. Step 4: Simplify right side
    29,942x = 4,036,696,225
  5. Step 5: Solve for x
    x = 4,036,696,225/29,942
  6. Step 6: Final answer
    x = 134,817.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.