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Finding the Third Proportional to 29,081 and 63,701

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Solution

The third proportional to 29,081 and 63,701 is: 139,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,081 : 63,701 = 63,701 : x
  2. Step 2: Convert to fraction form
    29,081/63,701 = 63,701/x
  3. Step 3: Cross multiply
    29,081x = 63,701 × 63,701
  4. Step 4: Simplify right side
    29,081x = 4,057,817,401
  5. Step 5: Solve for x
    x = 4,057,817,401/29,081
  6. Step 6: Final answer
    x = 139,535.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.