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Finding the Third Proportional to 5,249 and 7,351

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Solution

The third proportional to 5,249 and 7,351 is: 10,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249 : 7,351 = 7,351 : x
  2. Step 2: Convert to fraction form
    5,249/7,351 = 7,351/x
  3. Step 3: Cross multiply
    5,249x = 7,351 × 7,351
  4. Step 4: Simplify right side
    5,249x = 54,037,201
  5. Step 5: Solve for x
    x = 54,037,201/5,249
  6. Step 6: Final answer
    x = 10,294.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.