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Finding the Third Proportional to 24,124.88 and 49,419.75

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Solution

The third proportional to 24,124.88 and 49,419.75 is: 101,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,124.88 : 49,419.75 = 49,419.75 : x
  2. Step 2: Convert to fraction form
    24,124.88/49,419.75 = 49,419.75/x
  3. Step 3: Cross multiply
    24,124.88x = 49,419.75 × 49,419.75
  4. Step 4: Simplify right side
    24,124.88x = 2,442,311,690.06
  5. Step 5: Solve for x
    x = 2,442,311,690.06/24,124.88
  6. Step 6: Final answer
    x = 101,236.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.