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Finding the Third Proportional to 38,300 and 57,488

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Solution

The third proportional to 38,300 and 57,488 is: 86,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,300 : 57,488 = 57,488 : x
  2. Step 2: Convert to fraction form
    38,300/57,488 = 57,488/x
  3. Step 3: Cross multiply
    38,300x = 57,488 × 57,488
  4. Step 4: Simplify right side
    38,300x = 3,304,870,144
  5. Step 5: Solve for x
    x = 3,304,870,144/38,300
  6. Step 6: Final answer
    x = 86,289.04

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