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Finding the Third Proportional to 11,424.80 and 24,854.34

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Solution

The third proportional to 11,424.80 and 24,854.34 is: 54,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.80 : 24,854.34 = 24,854.34 : x
  2. Step 2: Convert to fraction form
    11,424.80/24,854.34 = 24,854.34/x
  3. Step 3: Cross multiply
    11,424.80x = 24,854.34 × 24,854.34
  4. Step 4: Simplify right side
    11,424.80x = 617,738,403.24
  5. Step 5: Solve for x
    x = 617,738,403.24/11,424.80
  6. Step 6: Final answer
    x = 54,069.97

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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.