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Finding the Third Proportional to 24,552.49 and 49,788.42

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Solution

The third proportional to 24,552.49 and 49,788.42 is: 100,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,552.49 : 49,788.42 = 49,788.42 : x
  2. Step 2: Convert to fraction form
    24,552.49/49,788.42 = 49,788.42/x
  3. Step 3: Cross multiply
    24,552.49x = 49,788.42 × 49,788.42
  4. Step 4: Simplify right side
    24,552.49x = 2,478,886,952.80
  5. Step 5: Solve for x
    x = 2,478,886,952.80/24,552.49
  6. Step 6: Final answer
    x = 100,962.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.