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Finding the Third Proportional to 14,374 and 21,472

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Solution

The third proportional to 14,374 and 21,472 is: 32,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374 : 21,472 = 21,472 : x
  2. Step 2: Convert to fraction form
    14,374/21,472 = 21,472/x
  3. Step 3: Cross multiply
    14,374x = 21,472 × 21,472
  4. Step 4: Simplify right side
    14,374x = 461,046,784
  5. Step 5: Solve for x
    x = 461,046,784/14,374
  6. Step 6: Final answer
    x = 32,075.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.