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Finding the Third Proportional to 5,407.50 and 11,635.13

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Solution

The third proportional to 5,407.50 and 11,635.13 is: 25,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.50 : 11,635.13 = 11,635.13 : x
  2. Step 2: Convert to fraction form
    5,407.50/11,635.13 = 11,635.13/x
  3. Step 3: Cross multiply
    5,407.50x = 11,635.13 × 11,635.13
  4. Step 4: Simplify right side
    5,407.50x = 135,376,133.77
  5. Step 5: Solve for x
    x = 135,376,133.77/5,407.50
  6. Step 6: Final answer
    x = 25,034.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.