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Finding the Third Proportional to 29,502 and 63,702

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Solution

The third proportional to 29,502 and 63,702 is: 137,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,502 : 63,702 = 63,702 : x
  2. Step 2: Convert to fraction form
    29,502/63,702 = 63,702/x
  3. Step 3: Cross multiply
    29,502x = 63,702 × 63,702
  4. Step 4: Simplify right side
    29,502x = 4,057,944,804
  5. Step 5: Solve for x
    x = 4,057,944,804/29,502
  6. Step 6: Final answer
    x = 137,548.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.