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Finding the Third Proportional to 27,864 and 63,000

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Solution

The third proportional to 27,864 and 63,000 is: 142,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 63,000 = 63,000 : x
  2. Step 2: Convert to fraction form
    27,864/63,000 = 63,000/x
  3. Step 3: Cross multiply
    27,864x = 63,000 × 63,000
  4. Step 4: Simplify right side
    27,864x = 3,969,000,000
  5. Step 5: Solve for x
    x = 3,969,000,000/27,864
  6. Step 6: Final answer
    x = 142,441.86

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.