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Finding the Third Proportional to 38,000 and 57,020

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Solution

The third proportional to 38,000 and 57,020 is: 85,560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000 : 57,020 = 57,020 : x
  2. Step 2: Convert to fraction form
    38,000/57,020 = 57,020/x
  3. Step 3: Cross multiply
    38,000x = 57,020 × 57,020
  4. Step 4: Simplify right side
    38,000x = 3,251,280,400
  5. Step 5: Solve for x
    x = 3,251,280,400/38,000
  6. Step 6: Final answer
    x = 85,560.01

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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.