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Finding the Third Proportional to 24,602 and 37,872

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Solution

The third proportional to 24,602 and 37,872 is: 58,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,602 : 37,872 = 37,872 : x
  2. Step 2: Convert to fraction form
    24,602/37,872 = 37,872/x
  3. Step 3: Cross multiply
    24,602x = 37,872 × 37,872
  4. Step 4: Simplify right side
    24,602x = 1,434,288,384
  5. Step 5: Solve for x
    x = 1,434,288,384/24,602
  6. Step 6: Final answer
    x = 58,299.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.