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Finding the Third Proportional to 24,092.44 and 48,696.19

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Solution

The third proportional to 24,092.44 and 48,696.19 is: 98,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,092.44 : 48,696.19 = 48,696.19 : x
  2. Step 2: Convert to fraction form
    24,092.44/48,696.19 = 48,696.19/x
  3. Step 3: Cross multiply
    24,092.44x = 48,696.19 × 48,696.19
  4. Step 4: Simplify right side
    24,092.44x = 2,371,318,677.04
  5. Step 5: Solve for x
    x = 2,371,318,677.04/24,092.44
  6. Step 6: Final answer
    x = 98,425.85

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.