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Finding the Third Proportional to 7,231 and 12,707

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Solution

The third proportional to 7,231 and 12,707 is: 22,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231 : 12,707 = 12,707 : x
  2. Step 2: Convert to fraction form
    7,231/12,707 = 12,707/x
  3. Step 3: Cross multiply
    7,231x = 12,707 × 12,707
  4. Step 4: Simplify right side
    7,231x = 161,467,849
  5. Step 5: Solve for x
    x = 161,467,849/7,231
  6. Step 6: Final answer
    x = 22,329.95

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.