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Finding the Third Proportional to 38,504 and 57,596

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Solution

The third proportional to 38,504 and 57,596 is: 86,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504 : 57,596 = 57,596 : x
  2. Step 2: Convert to fraction form
    38,504/57,596 = 57,596/x
  3. Step 3: Cross multiply
    38,504x = 57,596 × 57,596
  4. Step 4: Simplify right side
    38,504x = 3,317,299,216
  5. Step 5: Solve for x
    x = 3,317,299,216/38,504
  6. Step 6: Final answer
    x = 86,154.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.