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Finding the Third Proportional to 24,743 and 53,926

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Solution

The third proportional to 24,743 and 53,926 is: 117,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743 : 53,926 = 53,926 : x
  2. Step 2: Convert to fraction form
    24,743/53,926 = 53,926/x
  3. Step 3: Cross multiply
    24,743x = 53,926 × 53,926
  4. Step 4: Simplify right side
    24,743x = 2,908,013,476
  5. Step 5: Solve for x
    x = 2,908,013,476/24,743
  6. Step 6: Final answer
    x = 117,528.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.