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Finding the Third Proportional to 12,182.91 and 25,323.47

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Solution

The third proportional to 12,182.91 and 25,323.47 is: 52,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.91 : 25,323.47 = 25,323.47 : x
  2. Step 2: Convert to fraction form
    12,182.91/25,323.47 = 25,323.47/x
  3. Step 3: Cross multiply
    12,182.91x = 25,323.47 × 25,323.47
  4. Step 4: Simplify right side
    12,182.91x = 641,278,069.53
  5. Step 5: Solve for x
    x = 641,278,069.53/12,182.91
  6. Step 6: Final answer
    x = 52,637.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.