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Finding the Third Proportional to 38,398.50 and 57,300

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Solution

The third proportional to 38,398.50 and 57,300 is: 85,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,398.50 : 57,300 = 57,300 : x
  2. Step 2: Convert to fraction form
    38,398.50/57,300 = 57,300/x
  3. Step 3: Cross multiply
    38,398.50x = 57,300 × 57,300
  4. Step 4: Simplify right side
    38,398.50x = 3,283,290,000
  5. Step 5: Solve for x
    x = 3,283,290,000/38,398.50
  6. Step 6: Final answer
    x = 85,505.68

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