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Finding the Third Proportional to 14,472 and 21,862

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Solution

The third proportional to 14,472 and 21,862 is: 33,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472 : 21,862 = 21,862 : x
  2. Step 2: Convert to fraction form
    14,472/21,862 = 21,862/x
  3. Step 3: Cross multiply
    14,472x = 21,862 × 21,862
  4. Step 4: Simplify right side
    14,472x = 477,947,044
  5. Step 5: Solve for x
    x = 477,947,044/14,472
  6. Step 6: Final answer
    x = 33,025.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.