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Finding the Third Proportional to 5,156 and 6,614

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Solution

The third proportional to 5,156 and 6,614 is: 8,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156 : 6,614 = 6,614 : x
  2. Step 2: Convert to fraction form
    5,156/6,614 = 6,614/x
  3. Step 3: Cross multiply
    5,156x = 6,614 × 6,614
  4. Step 4: Simplify right side
    5,156x = 43,744,996
  5. Step 5: Solve for x
    x = 43,744,996/5,156
  6. Step 6: Final answer
    x = 8,484.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.