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Finding the Third Proportional to 38,617.03 and 83,656.69

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Solution

The third proportional to 38,617.03 and 83,656.69 is: 181,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,617.03 : 83,656.69 = 83,656.69 : x
  2. Step 2: Convert to fraction form
    38,617.03/83,656.69 = 83,656.69/x
  3. Step 3: Cross multiply
    38,617.03x = 83,656.69 × 83,656.69
  4. Step 4: Simplify right side
    38,617.03x = 6,998,441,363.47
  5. Step 5: Solve for x
    x = 6,998,441,363.47/38,617.03
  6. Step 6: Final answer
    x = 181,226.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.