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Finding the Third Proportional to 38,913.75 and 83,959.88

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Solution

The third proportional to 38,913.75 and 83,959.88 is: 181,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,913.75 : 83,959.88 = 83,959.88 : x
  2. Step 2: Convert to fraction form
    38,913.75/83,959.88 = 83,959.88/x
  3. Step 3: Cross multiply
    38,913.75x = 83,959.88 × 83,959.88
  4. Step 4: Simplify right side
    38,913.75x = 7,049,260,610.02
  5. Step 5: Solve for x
    x = 7,049,260,610.02/38,913.75
  6. Step 6: Final answer
    x = 181,150.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.