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Finding the Third Proportional to 29,960 and 63,802

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Solution

The third proportional to 29,960 and 63,802 is: 135,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,960 : 63,802 = 63,802 : x
  2. Step 2: Convert to fraction form
    29,960/63,802 = 63,802/x
  3. Step 3: Cross multiply
    29,960x = 63,802 × 63,802
  4. Step 4: Simplify right side
    29,960x = 4,070,695,204
  5. Step 5: Solve for x
    x = 4,070,695,204/29,960
  6. Step 6: Final answer
    x = 135,871.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.