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Finding the Third Proportional to 38,247.50 and 55,087

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Solution

The third proportional to 38,247.50 and 55,087 is: 79,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,247.50 : 55,087 = 55,087 : x
  2. Step 2: Convert to fraction form
    38,247.50/55,087 = 55,087/x
  3. Step 3: Cross multiply
    38,247.50x = 55,087 × 55,087
  4. Step 4: Simplify right side
    38,247.50x = 3,034,577,569
  5. Step 5: Solve for x
    x = 3,034,577,569/38,247.50
  6. Step 6: Final answer
    x = 79,340.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.