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Finding the Third Proportional to 5,314 and 6,274

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Solution

The third proportional to 5,314 and 6,274 is: 7,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314 : 6,274 = 6,274 : x
  2. Step 2: Convert to fraction form
    5,314/6,274 = 6,274/x
  3. Step 3: Cross multiply
    5,314x = 6,274 × 6,274
  4. Step 4: Simplify right side
    5,314x = 39,363,076
  5. Step 5: Solve for x
    x = 39,363,076/5,314
  6. Step 6: Final answer
    x = 7,407.43

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.