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Finding the Third Proportional to 36,412.50 and 48,908

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Solution

The third proportional to 36,412.50 and 48,908 is: 65,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,412.50 : 48,908 = 48,908 : x
  2. Step 2: Convert to fraction form
    36,412.50/48,908 = 48,908/x
  3. Step 3: Cross multiply
    36,412.50x = 48,908 × 48,908
  4. Step 4: Simplify right side
    36,412.50x = 2,391,992,464
  5. Step 5: Solve for x
    x = 2,391,992,464/36,412.50
  6. Step 6: Final answer
    x = 65,691.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.