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Finding the Third Proportional to 7,564.88 and 11,251.13

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Solution

The third proportional to 7,564.88 and 11,251.13 is: 16,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.88 : 11,251.13 = 11,251.13 : x
  2. Step 2: Convert to fraction form
    7,564.88/11,251.13 = 11,251.13/x
  3. Step 3: Cross multiply
    7,564.88x = 11,251.13 × 11,251.13
  4. Step 4: Simplify right side
    7,564.88x = 126,587,813.77
  5. Step 5: Solve for x
    x = 126,587,813.77/7,564.88
  6. Step 6: Final answer
    x = 16,733.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.