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Finding the Third Proportional to 48,000 and 67,564

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Solution

The third proportional to 48,000 and 67,564 is: 95,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000 : 67,564 = 67,564 : x
  2. Step 2: Convert to fraction form
    48,000/67,564 = 67,564/x
  3. Step 3: Cross multiply
    48,000x = 67,564 × 67,564
  4. Step 4: Simplify right side
    48,000x = 4,564,894,096
  5. Step 5: Solve for x
    x = 4,564,894,096/48,000
  6. Step 6: Final answer
    x = 95,101.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.