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Finding the Third Proportional to 9,115.03 and 12,346.17

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Solution

The third proportional to 9,115.03 and 12,346.17 is: 16,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.03 : 12,346.17 = 12,346.17 : x
  2. Step 2: Convert to fraction form
    9,115.03/12,346.17 = 12,346.17/x
  3. Step 3: Cross multiply
    9,115.03x = 12,346.17 × 12,346.17
  4. Step 4: Simplify right side
    9,115.03x = 152,427,959.97
  5. Step 5: Solve for x
    x = 152,427,959.97/9,115.03
  6. Step 6: Final answer
    x = 16,722.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.