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Finding the Third Proportional to 7,917.47 and 17,103.66

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Solution

The third proportional to 7,917.47 and 17,103.66 is: 36,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.47 : 17,103.66 = 17,103.66 : x
  2. Step 2: Convert to fraction form
    7,917.47/17,103.66 = 17,103.66/x
  3. Step 3: Cross multiply
    7,917.47x = 17,103.66 × 17,103.66
  4. Step 4: Simplify right side
    7,917.47x = 292,535,057.12
  5. Step 5: Solve for x
    x = 292,535,057.12/7,917.47
  6. Step 6: Final answer
    x = 36,948.05

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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.