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Finding the Third Proportional to 24,419.88 and 51,837.38

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Solution

The third proportional to 24,419.88 and 51,837.38 is: 110,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.88 : 51,837.38 = 51,837.38 : x
  2. Step 2: Convert to fraction form
    24,419.88/51,837.38 = 51,837.38/x
  3. Step 3: Cross multiply
    24,419.88x = 51,837.38 × 51,837.38
  4. Step 4: Simplify right side
    24,419.88x = 2,687,113,446.89
  5. Step 5: Solve for x
    x = 2,687,113,446.89/24,419.88
  6. Step 6: Final answer
    x = 110,037.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.