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Finding the Third Proportional to 47,797 and 72,344

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Solution

The third proportional to 47,797 and 72,344 is: 109,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797 : 72,344 = 72,344 : x
  2. Step 2: Convert to fraction form
    47,797/72,344 = 72,344/x
  3. Step 3: Cross multiply
    47,797x = 72,344 × 72,344
  4. Step 4: Simplify right side
    47,797x = 5,233,654,336
  5. Step 5: Solve for x
    x = 5,233,654,336/47,797
  6. Step 6: Final answer
    x = 109,497.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.