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Finding the Third Proportional to 7,867.13 and 12,151.69

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Solution

The third proportional to 7,867.13 and 12,151.69 is: 18,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.13 : 12,151.69 = 12,151.69 : x
  2. Step 2: Convert to fraction form
    7,867.13/12,151.69 = 12,151.69/x
  3. Step 3: Cross multiply
    7,867.13x = 12,151.69 × 12,151.69
  4. Step 4: Simplify right side
    7,867.13x = 147,663,509.10
  5. Step 5: Solve for x
    x = 147,663,509.10/7,867.13
  6. Step 6: Final answer
    x = 18,769.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.