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Finding the Third Proportional to 36,591.75 and 78,468.75

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Solution

The third proportional to 36,591.75 and 78,468.75 is: 168,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,591.75 : 78,468.75 = 78,468.75 : x
  2. Step 2: Convert to fraction form
    36,591.75/78,468.75 = 78,468.75/x
  3. Step 3: Cross multiply
    36,591.75x = 78,468.75 × 78,468.75
  4. Step 4: Simplify right side
    36,591.75x = 6,157,344,726.56
  5. Step 5: Solve for x
    x = 6,157,344,726.56/36,591.75
  6. Step 6: Final answer
    x = 168,271.39

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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.