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Finding the Third Proportional to 15,500 and 24,630

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Solution

The third proportional to 15,500 and 24,630 is: 39,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500 : 24,630 = 24,630 : x
  2. Step 2: Convert to fraction form
    15,500/24,630 = 24,630/x
  3. Step 3: Cross multiply
    15,500x = 24,630 × 24,630
  4. Step 4: Simplify right side
    15,500x = 606,636,900
  5. Step 5: Solve for x
    x = 606,636,900/15,500
  6. Step 6: Final answer
    x = 39,137.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.