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Finding the Third Proportional to 40,560.25 and 86,725

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Solution

The third proportional to 40,560.25 and 86,725 is: 185,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,560.25 : 86,725 = 86,725 : x
  2. Step 2: Convert to fraction form
    40,560.25/86,725 = 86,725/x
  3. Step 3: Cross multiply
    40,560.25x = 86,725 × 86,725
  4. Step 4: Simplify right side
    40,560.25x = 7,521,225,625
  5. Step 5: Solve for x
    x = 7,521,225,625/40,560.25
  6. Step 6: Final answer
    x = 185,433.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.