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Finding the Third Proportional to 6,114 and 7,218

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Solution

The third proportional to 6,114 and 7,218 is: 8,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114 : 7,218 = 7,218 : x
  2. Step 2: Convert to fraction form
    6,114/7,218 = 7,218/x
  3. Step 3: Cross multiply
    6,114x = 7,218 × 7,218
  4. Step 4: Simplify right side
    6,114x = 52,099,524
  5. Step 5: Solve for x
    x = 52,099,524/6,114
  6. Step 6: Final answer
    x = 8,521.35

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Double scale
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1.5x scale

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.