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Finding the Third Proportional to 18,115.31 and 38,962.69

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Solution

The third proportional to 18,115.31 and 38,962.69 is: 83,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,115.31 : 38,962.69 = 38,962.69 : x
  2. Step 2: Convert to fraction form
    18,115.31/38,962.69 = 38,962.69/x
  3. Step 3: Cross multiply
    18,115.31x = 38,962.69 × 38,962.69
  4. Step 4: Simplify right side
    18,115.31x = 1,518,091,017.22
  5. Step 5: Solve for x
    x = 1,518,091,017.22/18,115.31
  6. Step 6: Final answer
    x = 83,801.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.