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Finding the Third Proportional to 47,648.25 and 75,373.88

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Solution

The third proportional to 47,648.25 and 75,373.88 is: 119,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,648.25 : 75,373.88 = 75,373.88 : x
  2. Step 2: Convert to fraction form
    47,648.25/75,373.88 = 75,373.88/x
  3. Step 3: Cross multiply
    47,648.25x = 75,373.88 × 75,373.88
  4. Step 4: Simplify right side
    47,648.25x = 5,681,221,032.52
  5. Step 5: Solve for x
    x = 5,681,221,032.52/47,648.25
  6. Step 6: Final answer
    x = 119,232.52

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.