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Finding the Third Proportional to 5,407.25 and 11,658.25

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Solution

The third proportional to 5,407.25 and 11,658.25 is: 25,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.25 : 11,658.25 = 11,658.25 : x
  2. Step 2: Convert to fraction form
    5,407.25/11,658.25 = 11,658.25/x
  3. Step 3: Cross multiply
    5,407.25x = 11,658.25 × 11,658.25
  4. Step 4: Simplify right side
    5,407.25x = 135,914,793.06
  5. Step 5: Solve for x
    x = 135,914,793.06/5,407.25
  6. Step 6: Final answer
    x = 25,135.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.