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Finding the Third Proportional to 38,497.13 and 57,588.75

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Solution

The third proportional to 38,497.13 and 57,588.75 is: 86,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.13 : 57,588.75 = 57,588.75 : x
  2. Step 2: Convert to fraction form
    38,497.13/57,588.75 = 57,588.75/x
  3. Step 3: Cross multiply
    38,497.13x = 57,588.75 × 57,588.75
  4. Step 4: Simplify right side
    38,497.13x = 3,316,464,126.56
  5. Step 5: Solve for x
    x = 3,316,464,126.56/38,497.13
  6. Step 6: Final answer
    x = 86,148.36

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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.