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Finding the Third Proportional to 16,612 and 24,680

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Solution

The third proportional to 16,612 and 24,680 is: 36,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,612 : 24,680 = 24,680 : x
  2. Step 2: Convert to fraction form
    16,612/24,680 = 24,680/x
  3. Step 3: Cross multiply
    16,612x = 24,680 × 24,680
  4. Step 4: Simplify right side
    16,612x = 609,102,400
  5. Step 5: Solve for x
    x = 609,102,400/16,612
  6. Step 6: Final answer
    x = 36,666.41

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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.