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Finding the Third Proportional to 5,124 and 6,755

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Solution

The third proportional to 5,124 and 6,755 is: 8,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124 : 6,755 = 6,755 : x
  2. Step 2: Convert to fraction form
    5,124/6,755 = 6,755/x
  3. Step 3: Cross multiply
    5,124x = 6,755 × 6,755
  4. Step 4: Simplify right side
    5,124x = 45,630,025
  5. Step 5: Solve for x
    x = 45,630,025/5,124
  6. Step 6: Final answer
    x = 8,905.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.