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Finding the Third Proportional to 16,608 and 24,677

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Solution

The third proportional to 16,608 and 24,677 is: 36,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,608 : 24,677 = 24,677 : x
  2. Step 2: Convert to fraction form
    16,608/24,677 = 24,677/x
  3. Step 3: Cross multiply
    16,608x = 24,677 × 24,677
  4. Step 4: Simplify right side
    16,608x = 608,954,329
  5. Step 5: Solve for x
    x = 608,954,329/16,608
  6. Step 6: Final answer
    x = 36,666.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.