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Finding the Third Proportional to 24,445.13 and 52,464.38

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Solution

The third proportional to 24,445.13 and 52,464.38 is: 112,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,445.13 : 52,464.38 = 52,464.38 : x
  2. Step 2: Convert to fraction form
    24,445.13/52,464.38 = 52,464.38/x
  3. Step 3: Cross multiply
    24,445.13x = 52,464.38 × 52,464.38
  4. Step 4: Simplify right side
    24,445.13x = 2,752,510,644.14
  5. Step 5: Solve for x
    x = 2,752,510,644.14/24,445.13
  6. Step 6: Final answer
    x = 112,599.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.