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Finding the Third Proportional to 10,478 and 15,762

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Solution

The third proportional to 10,478 and 15,762 is: 23,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478 : 15,762 = 15,762 : x
  2. Step 2: Convert to fraction form
    10,478/15,762 = 15,762/x
  3. Step 3: Cross multiply
    10,478x = 15,762 × 15,762
  4. Step 4: Simplify right side
    10,478x = 248,440,644
  5. Step 5: Solve for x
    x = 248,440,644/10,478
  6. Step 6: Final answer
    x = 23,710.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.