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Finding the Third Proportional to 10,472 and 19,344

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Solution

The third proportional to 10,472 and 19,344 is: 35,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472 : 19,344 = 19,344 : x
  2. Step 2: Convert to fraction form
    10,472/19,344 = 19,344/x
  3. Step 3: Cross multiply
    10,472x = 19,344 × 19,344
  4. Step 4: Simplify right side
    10,472x = 374,190,336
  5. Step 5: Solve for x
    x = 374,190,336/10,472
  6. Step 6: Final answer
    x = 35,732.46

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.