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Finding the Third Proportional to 38,199.50 and 57,371

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Solution

The third proportional to 38,199.50 and 57,371 is: 86,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,199.50 : 57,371 = 57,371 : x
  2. Step 2: Convert to fraction form
    38,199.50/57,371 = 57,371/x
  3. Step 3: Cross multiply
    38,199.50x = 57,371 × 57,371
  4. Step 4: Simplify right side
    38,199.50x = 3,291,431,641
  5. Step 5: Solve for x
    x = 3,291,431,641/38,199.50
  6. Step 6: Final answer
    x = 86,164.26

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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.