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Finding the Third Proportional to 14,972 and 21,566

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Solution

The third proportional to 14,972 and 21,566 is: 31,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972 : 21,566 = 21,566 : x
  2. Step 2: Convert to fraction form
    14,972/21,566 = 21,566/x
  3. Step 3: Cross multiply
    14,972x = 21,566 × 21,566
  4. Step 4: Simplify right side
    14,972x = 465,092,356
  5. Step 5: Solve for x
    x = 465,092,356/14,972
  6. Step 6: Final answer
    x = 31,064.14

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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.