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Finding the Third Proportional to 5,114 and 7,238

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Solution

The third proportional to 5,114 and 7,238 is: 10,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 7,238 = 7,238 : x
  2. Step 2: Convert to fraction form
    5,114/7,238 = 7,238/x
  3. Step 3: Cross multiply
    5,114x = 7,238 × 7,238
  4. Step 4: Simplify right side
    5,114x = 52,388,644
  5. Step 5: Solve for x
    x = 52,388,644/5,114
  6. Step 6: Final answer
    x = 10,244.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.