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Finding the Third Proportional to 38,320.50 and 57,244.75

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Solution

The third proportional to 38,320.50 and 57,244.75 is: 85,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,320.50 : 57,244.75 = 57,244.75 : x
  2. Step 2: Convert to fraction form
    38,320.50/57,244.75 = 57,244.75/x
  3. Step 3: Cross multiply
    38,320.50x = 57,244.75 × 57,244.75
  4. Step 4: Simplify right side
    38,320.50x = 3,276,961,402.56
  5. Step 5: Solve for x
    x = 3,276,961,402.56/38,320.50
  6. Step 6: Final answer
    x = 85,514.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.