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Finding the Third Proportional to 11,867.25 and 18,448.88

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Solution

The third proportional to 11,867.25 and 18,448.88 is: 28,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.25 : 18,448.88 = 18,448.88 : x
  2. Step 2: Convert to fraction form
    11,867.25/18,448.88 = 18,448.88/x
  3. Step 3: Cross multiply
    11,867.25x = 18,448.88 × 18,448.88
  4. Step 4: Simplify right side
    11,867.25x = 340,360,988.77
  5. Step 5: Solve for x
    x = 340,360,988.77/11,867.25
  6. Step 6: Final answer
    x = 28,680.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.