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Finding the Third Proportional to 7,227.35 and 11,263.90

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Solution

The third proportional to 7,227.35 and 11,263.90 is: 17,554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.35 : 11,263.90 = 11,263.90 : x
  2. Step 2: Convert to fraction form
    7,227.35/11,263.90 = 11,263.90/x
  3. Step 3: Cross multiply
    7,227.35x = 11,263.90 × 11,263.90
  4. Step 4: Simplify right side
    7,227.35x = 126,875,540.01
  5. Step 5: Solve for x
    x = 126,875,540.01/7,227.35
  6. Step 6: Final answer
    x = 17,554.91

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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.