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Finding the Third Proportional to 12,263.43 and 25,987.71

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Solution

The third proportional to 12,263.43 and 25,987.71 is: 55,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.43 : 25,987.71 = 25,987.71 : x
  2. Step 2: Convert to fraction form
    12,263.43/25,987.71 = 25,987.71/x
  3. Step 3: Cross multiply
    12,263.43x = 25,987.71 × 25,987.71
  4. Step 4: Simplify right side
    12,263.43x = 675,361,119.77
  5. Step 5: Solve for x
    x = 675,361,119.77/12,263.43
  6. Step 6: Final answer
    x = 55,071.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.