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Finding the Third Proportional to 29,981 and 46,581

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Solution

The third proportional to 29,981 and 46,581 is: 72,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,981 : 46,581 = 46,581 : x
  2. Step 2: Convert to fraction form
    29,981/46,581 = 46,581/x
  3. Step 3: Cross multiply
    29,981x = 46,581 × 46,581
  4. Step 4: Simplify right side
    29,981x = 2,169,789,561
  5. Step 5: Solve for x
    x = 2,169,789,561/29,981
  6. Step 6: Final answer
    x = 72,372.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.