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Finding the Third Proportional to 5,140 and 5,676

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Solution

The third proportional to 5,140 and 5,676 is: 6,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 5,676 = 5,676 : x
  2. Step 2: Convert to fraction form
    5,140/5,676 = 5,676/x
  3. Step 3: Cross multiply
    5,140x = 5,676 × 5,676
  4. Step 4: Simplify right side
    5,140x = 32,216,976
  5. Step 5: Solve for x
    x = 32,216,976/5,140
  6. Step 6: Final answer
    x = 6,267.89

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.