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Finding the Third Proportional to 3,716 and 10,042

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Solution

The third proportional to 3,716 and 10,042 is: 27,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716 : 10,042 = 10,042 : x
  2. Step 2: Convert to fraction form
    3,716/10,042 = 10,042/x
  3. Step 3: Cross multiply
    3,716x = 10,042 × 10,042
  4. Step 4: Simplify right side
    3,716x = 100,841,764
  5. Step 5: Solve for x
    x = 100,841,764/3,716
  6. Step 6: Final answer
    x = 27,137.18

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.