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Finding the Third Proportional to 13,464 and 14,872

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Solution

The third proportional to 13,464 and 14,872 is: 16,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464 : 14,872 = 14,872 : x
  2. Step 2: Convert to fraction form
    13,464/14,872 = 14,872/x
  3. Step 3: Cross multiply
    13,464x = 14,872 × 14,872
  4. Step 4: Simplify right side
    13,464x = 221,176,384
  5. Step 5: Solve for x
    x = 221,176,384/13,464
  6. Step 6: Final answer
    x = 16,427.24

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.