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Finding the Third Proportional to 21,472 and 31,566

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Solution

The third proportional to 21,472 and 31,566 is: 46,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472 : 31,566 = 31,566 : x
  2. Step 2: Convert to fraction form
    21,472/31,566 = 31,566/x
  3. Step 3: Cross multiply
    21,472x = 31,566 × 31,566
  4. Step 4: Simplify right side
    21,472x = 996,412,356
  5. Step 5: Solve for x
    x = 996,412,356/21,472
  6. Step 6: Final answer
    x = 46,405.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.