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Finding the Third Proportional to 21,472 and 31,384

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Solution

The third proportional to 21,472 and 31,384 is: 45,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472 : 31,384 = 31,384 : x
  2. Step 2: Convert to fraction form
    21,472/31,384 = 31,384/x
  3. Step 3: Cross multiply
    21,472x = 31,384 × 31,384
  4. Step 4: Simplify right side
    21,472x = 984,955,456
  5. Step 5: Solve for x
    x = 984,955,456/21,472
  6. Step 6: Final answer
    x = 45,871.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.