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Finding the Third Proportional to 24,413 and 36,619

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Solution

The third proportional to 24,413 and 36,619 is: 54,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413 : 36,619 = 36,619 : x
  2. Step 2: Convert to fraction form
    24,413/36,619 = 36,619/x
  3. Step 3: Cross multiply
    24,413x = 36,619 × 36,619
  4. Step 4: Simplify right side
    24,413x = 1,340,951,161
  5. Step 5: Solve for x
    x = 1,340,951,161/24,413
  6. Step 6: Final answer
    x = 54,927.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.