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Finding the Third Proportional to 38,710.50 and 54,512.25

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Solution

The third proportional to 38,710.50 and 54,512.25 is: 76,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,710.50 : 54,512.25 = 54,512.25 : x
  2. Step 2: Convert to fraction form
    38,710.50/54,512.25 = 54,512.25/x
  3. Step 3: Cross multiply
    38,710.50x = 54,512.25 × 54,512.25
  4. Step 4: Simplify right side
    38,710.50x = 2,971,585,400.06
  5. Step 5: Solve for x
    x = 2,971,585,400.06/38,710.50
  6. Step 6: Final answer
    x = 76,764.32

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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.