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Finding the Third Proportional to 24,405.05 and 49,489.10

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Solution

The third proportional to 24,405.05 and 49,489.10 is: 100,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405.05 : 49,489.10 = 49,489.10 : x
  2. Step 2: Convert to fraction form
    24,405.05/49,489.10 = 49,489.10/x
  3. Step 3: Cross multiply
    24,405.05x = 49,489.10 × 49,489.10
  4. Step 4: Simplify right side
    24,405.05x = 2,449,171,173.46
  5. Step 5: Solve for x
    x = 2,449,171,173.46/24,405.05
  6. Step 6: Final answer
    x = 100,355.11

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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.