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Finding the Third Proportional to 38,151 and 58,007.25

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Solution

The third proportional to 38,151 and 58,007.25 is: 88,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,151 : 58,007.25 = 58,007.25 : x
  2. Step 2: Convert to fraction form
    38,151/58,007.25 = 58,007.25/x
  3. Step 3: Cross multiply
    38,151x = 58,007.25 × 58,007.25
  4. Step 4: Simplify right side
    38,151x = 3,364,841,052.56
  5. Step 5: Solve for x
    x = 3,364,841,052.56/38,151
  6. Step 6: Final answer
    x = 88,197.98

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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.