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Finding the Third Proportional to 38,774.25 and 52,620.75

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Solution

The third proportional to 38,774.25 and 52,620.75 is: 71,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774.25 : 52,620.75 = 52,620.75 : x
  2. Step 2: Convert to fraction form
    38,774.25/52,620.75 = 52,620.75/x
  3. Step 3: Cross multiply
    38,774.25x = 52,620.75 × 52,620.75
  4. Step 4: Simplify right side
    38,774.25x = 2,768,943,330.56
  5. Step 5: Solve for x
    x = 2,768,943,330.56/38,774.25
  6. Step 6: Final answer
    x = 71,411.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.