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Finding the Third Proportional to 38,497.88 and 57,589.88

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Solution

The third proportional to 38,497.88 and 57,589.88 is: 86,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.88 : 57,589.88 = 57,589.88 : x
  2. Step 2: Convert to fraction form
    38,497.88/57,589.88 = 57,589.88/x
  3. Step 3: Cross multiply
    38,497.88x = 57,589.88 × 57,589.88
  4. Step 4: Simplify right side
    38,497.88x = 3,316,593,702.52
  5. Step 5: Solve for x
    x = 3,316,593,702.52/38,497.88
  6. Step 6: Final answer
    x = 86,150.05

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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.