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Finding the Third Proportional to 38,080.13 and 58,013.72

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Solution

The third proportional to 38,080.13 and 58,013.72 is: 88,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080.13 : 58,013.72 = 58,013.72 : x
  2. Step 2: Convert to fraction form
    38,080.13/58,013.72 = 58,013.72/x
  3. Step 3: Cross multiply
    38,080.13x = 58,013.72 × 58,013.72
  4. Step 4: Simplify right side
    38,080.13x = 3,365,591,563.20
  5. Step 5: Solve for x
    x = 3,365,591,563.20/38,080.13
  6. Step 6: Final answer
    x = 88,381.84

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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.