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Finding the Third Proportional to 24,852 and 37,926

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Solution

The third proportional to 24,852 and 37,926 is: 57,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852 : 37,926 = 37,926 : x
  2. Step 2: Convert to fraction form
    24,852/37,926 = 37,926/x
  3. Step 3: Cross multiply
    24,852x = 37,926 × 37,926
  4. Step 4: Simplify right side
    24,852x = 1,438,381,476
  5. Step 5: Solve for x
    x = 1,438,381,476/24,852
  6. Step 6: Final answer
    x = 57,877.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.