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Finding the Third Proportional to 38,254.50 and 53,772.75

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Solution

The third proportional to 38,254.50 and 53,772.75 is: 75,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254.50 : 53,772.75 = 53,772.75 : x
  2. Step 2: Convert to fraction form
    38,254.50/53,772.75 = 53,772.75/x
  3. Step 3: Cross multiply
    38,254.50x = 53,772.75 × 53,772.75
  4. Step 4: Simplify right side
    38,254.50x = 2,891,508,642.56
  5. Step 5: Solve for x
    x = 2,891,508,642.56/38,254.50
  6. Step 6: Final answer
    x = 75,586.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.