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Finding the Third Proportional to 12,584.25 and 27,430.88

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Solution

The third proportional to 12,584.25 and 27,430.88 is: 59,793.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.25 : 27,430.88 = 27,430.88 : x
  2. Step 2: Convert to fraction form
    12,584.25/27,430.88 = 27,430.88/x
  3. Step 3: Cross multiply
    12,584.25x = 27,430.88 × 27,430.88
  4. Step 4: Simplify right side
    12,584.25x = 752,452,903.27
  5. Step 5: Solve for x
    x = 752,452,903.27/12,584.25
  6. Step 6: Final answer
    x = 59,793.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.