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Finding the Third Proportional to 24,396 and 37,662

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Solution

The third proportional to 24,396 and 37,662 is: 58,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,396 : 37,662 = 37,662 : x
  2. Step 2: Convert to fraction form
    24,396/37,662 = 37,662/x
  3. Step 3: Cross multiply
    24,396x = 37,662 × 37,662
  4. Step 4: Simplify right side
    24,396x = 1,418,426,244
  5. Step 5: Solve for x
    x = 1,418,426,244/24,396
  6. Step 6: Final answer
    x = 58,141.75

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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.