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Finding the Third Proportional to 5,078 and 7,249

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Solution

The third proportional to 5,078 and 7,249 is: 10,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078 : 7,249 = 7,249 : x
  2. Step 2: Convert to fraction form
    5,078/7,249 = 7,249/x
  3. Step 3: Cross multiply
    5,078x = 7,249 × 7,249
  4. Step 4: Simplify right side
    5,078x = 52,548,001
  5. Step 5: Solve for x
    x = 52,548,001/5,078
  6. Step 6: Final answer
    x = 10,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.