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Finding the Third Proportional to 7,425.74 and 11,101.11

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Solution

The third proportional to 7,425.74 and 11,101.11 is: 16,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425.74 : 11,101.11 = 11,101.11 : x
  2. Step 2: Convert to fraction form
    7,425.74/11,101.11 = 11,101.11/x
  3. Step 3: Cross multiply
    7,425.74x = 11,101.11 × 11,101.11
  4. Step 4: Simplify right side
    7,425.74x = 123,234,716.08
  5. Step 5: Solve for x
    x = 123,234,716.08/7,425.74
  6. Step 6: Final answer
    x = 16,595.62

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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.