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Finding the Third Proportional to 10,428 and 13,725

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Solution

The third proportional to 10,428 and 13,725 is: 18,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428 : 13,725 = 13,725 : x
  2. Step 2: Convert to fraction form
    10,428/13,725 = 13,725/x
  3. Step 3: Cross multiply
    10,428x = 13,725 × 13,725
  4. Step 4: Simplify right side
    10,428x = 188,375,625
  5. Step 5: Solve for x
    x = 188,375,625/10,428
  6. Step 6: Final answer
    x = 18,064.41

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.