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Finding the Third Proportional to 13,234 and 15,682

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Solution

The third proportional to 13,234 and 15,682 is: 18,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234 : 15,682 = 15,682 : x
  2. Step 2: Convert to fraction form
    13,234/15,682 = 15,682/x
  3. Step 3: Cross multiply
    13,234x = 15,682 × 15,682
  4. Step 4: Simplify right side
    13,234x = 245,925,124
  5. Step 5: Solve for x
    x = 245,925,124/13,234
  6. Step 6: Final answer
    x = 18,582.83

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.