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Finding the Third Proportional to 14,560 and 15,872

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Solution

The third proportional to 14,560 and 15,872 is: 17,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560 : 15,872 = 15,872 : x
  2. Step 2: Convert to fraction form
    14,560/15,872 = 15,872/x
  3. Step 3: Cross multiply
    14,560x = 15,872 × 15,872
  4. Step 4: Simplify right side
    14,560x = 251,920,384
  5. Step 5: Solve for x
    x = 251,920,384/14,560
  6. Step 6: Final answer
    x = 17,302.22

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.