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Finding the Third Proportional to 19,847.25 and 27,340.88

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Solution

The third proportional to 19,847.25 and 27,340.88 is: 37,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.25 : 27,340.88 = 27,340.88 : x
  2. Step 2: Convert to fraction form
    19,847.25/27,340.88 = 27,340.88/x
  3. Step 3: Cross multiply
    19,847.25x = 27,340.88 × 27,340.88
  4. Step 4: Simplify right side
    19,847.25x = 747,523,445.77
  5. Step 5: Solve for x
    x = 747,523,445.77/19,847.25
  6. Step 6: Final answer
    x = 37,663.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.