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Finding the Third Proportional to 47,282 and 71,904

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Solution

The third proportional to 47,282 and 71,904 is: 109,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,282 : 71,904 = 71,904 : x
  2. Step 2: Convert to fraction form
    47,282/71,904 = 71,904/x
  3. Step 3: Cross multiply
    47,282x = 71,904 × 71,904
  4. Step 4: Simplify right side
    47,282x = 5,170,185,216
  5. Step 5: Solve for x
    x = 5,170,185,216/47,282
  6. Step 6: Final answer
    x = 109,347.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.