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Finding the Third Proportional to 24,396 and 37,848

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Solution

The third proportional to 24,396 and 37,848 is: 58,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,396 : 37,848 = 37,848 : x
  2. Step 2: Convert to fraction form
    24,396/37,848 = 37,848/x
  3. Step 3: Cross multiply
    24,396x = 37,848 × 37,848
  4. Step 4: Simplify right side
    24,396x = 1,432,471,104
  5. Step 5: Solve for x
    x = 1,432,471,104/24,396
  6. Step 6: Final answer
    x = 58,717.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.