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Finding the Third Proportional to 10,919.25 and 24,298.88

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Solution

The third proportional to 10,919.25 and 24,298.88 is: 54,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.25 : 24,298.88 = 24,298.88 : x
  2. Step 2: Convert to fraction form
    10,919.25/24,298.88 = 24,298.88/x
  3. Step 3: Cross multiply
    10,919.25x = 24,298.88 × 24,298.88
  4. Step 4: Simplify right side
    10,919.25x = 590,435,326.27
  5. Step 5: Solve for x
    x = 590,435,326.27/10,919.25
  6. Step 6: Final answer
    x = 54,072.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.