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Finding the Third Proportional to 7,081 and 13,142

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Solution

The third proportional to 7,081 and 13,142 is: 24,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081 : 13,142 = 13,142 : x
  2. Step 2: Convert to fraction form
    7,081/13,142 = 13,142/x
  3. Step 3: Cross multiply
    7,081x = 13,142 × 13,142
  4. Step 4: Simplify right side
    7,081x = 172,712,164
  5. Step 5: Solve for x
    x = 172,712,164/7,081
  6. Step 6: Final answer
    x = 24,390.93

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.