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Finding the Third Proportional to 38,750.91 and 82,115.02

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Solution

The third proportional to 38,750.91 and 82,115.02 is: 174,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,750.91 : 82,115.02 = 82,115.02 : x
  2. Step 2: Convert to fraction form
    38,750.91/82,115.02 = 82,115.02/x
  3. Step 3: Cross multiply
    38,750.91x = 82,115.02 × 82,115.02
  4. Step 4: Simplify right side
    38,750.91x = 6,742,875,791.09
  5. Step 5: Solve for x
    x = 6,742,875,791.09/38,750.91
  6. Step 6: Final answer
    x = 174,005.63

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.