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Finding the Third Proportional to 16,438 and 24,630

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Solution

The third proportional to 16,438 and 24,630 is: 36,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438 : 24,630 = 24,630 : x
  2. Step 2: Convert to fraction form
    16,438/24,630 = 24,630/x
  3. Step 3: Cross multiply
    16,438x = 24,630 × 24,630
  4. Step 4: Simplify right side
    16,438x = 606,636,900
  5. Step 5: Solve for x
    x = 606,636,900/16,438
  6. Step 6: Final answer
    x = 36,904.54

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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.