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Finding the Third Proportional to 10,524 and 15,714

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Solution

The third proportional to 10,524 and 15,714 is: 23,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 15,714 = 15,714 : x
  2. Step 2: Convert to fraction form
    10,524/15,714 = 15,714/x
  3. Step 3: Cross multiply
    10,524x = 15,714 × 15,714
  4. Step 4: Simplify right side
    10,524x = 246,929,796
  5. Step 5: Solve for x
    x = 246,929,796/10,524
  6. Step 6: Final answer
    x = 23,463.49

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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.