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Finding the Third Proportional to 14,982 and 21,581

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Solution

The third proportional to 14,982 and 21,581 is: 31,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 21,581 = 21,581 : x
  2. Step 2: Convert to fraction form
    14,982/21,581 = 21,581/x
  3. Step 3: Cross multiply
    14,982x = 21,581 × 21,581
  4. Step 4: Simplify right side
    14,982x = 465,739,561
  5. Step 5: Solve for x
    x = 465,739,561/14,982
  6. Step 6: Final answer
    x = 31,086.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.