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Finding the Third Proportional to 5,410 and 11,750

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Solution

The third proportional to 5,410 and 11,750 is: 25,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410 : 11,750 = 11,750 : x
  2. Step 2: Convert to fraction form
    5,410/11,750 = 11,750/x
  3. Step 3: Cross multiply
    5,410x = 11,750 × 11,750
  4. Step 4: Simplify right side
    5,410x = 138,062,500
  5. Step 5: Solve for x
    x = 138,062,500/5,410
  6. Step 6: Final answer
    x = 25,519.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.