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Finding the Third Proportional to 16,413 and 24,614

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Solution

The third proportional to 16,413 and 24,614 is: 36,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413 : 24,614 = 24,614 : x
  2. Step 2: Convert to fraction form
    16,413/24,614 = 24,614/x
  3. Step 3: Cross multiply
    16,413x = 24,614 × 24,614
  4. Step 4: Simplify right side
    16,413x = 605,848,996
  5. Step 5: Solve for x
    x = 605,848,996/16,413
  6. Step 6: Final answer
    x = 36,912.75

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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.