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Finding the Third Proportional to 36,448.88 and 78,433.88

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Solution

The third proportional to 36,448.88 and 78,433.88 is: 168,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,448.88 : 78,433.88 = 78,433.88 : x
  2. Step 2: Convert to fraction form
    36,448.88/78,433.88 = 78,433.88/x
  3. Step 3: Cross multiply
    36,448.88x = 78,433.88 × 78,433.88
  4. Step 4: Simplify right side
    36,448.88x = 6,151,872,747.52
  5. Step 5: Solve for x
    x = 6,151,872,747.52/36,448.88
  6. Step 6: Final answer
    x = 168,780.87

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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.