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Finding the Third Proportional to 24,381 and 52,452.56

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Solution

The third proportional to 24,381 and 52,452.56 is: 112,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381 : 52,452.56 = 52,452.56 : x
  2. Step 2: Convert to fraction form
    24,381/52,452.56 = 52,452.56/x
  3. Step 3: Cross multiply
    24,381x = 52,452.56 × 52,452.56
  4. Step 4: Simplify right side
    24,381x = 2,751,271,312.82
  5. Step 5: Solve for x
    x = 2,751,271,312.82/24,381
  6. Step 6: Final answer
    x = 112,844.89

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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.