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Finding the Third Proportional to 7,546.13 and 11,767.13

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Solution

The third proportional to 7,546.13 and 11,767.13 is: 18,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.13 : 11,767.13 = 11,767.13 : x
  2. Step 2: Convert to fraction form
    7,546.13/11,767.13 = 11,767.13/x
  3. Step 3: Cross multiply
    7,546.13x = 11,767.13 × 11,767.13
  4. Step 4: Simplify right side
    7,546.13x = 138,465,230.77
  5. Step 5: Solve for x
    x = 138,465,230.77/7,546.13
  6. Step 6: Final answer
    x = 18,349.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.