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Finding the Third Proportional to 6,117 and 6,909

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Solution

The third proportional to 6,117 and 6,909 is: 7,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117 : 6,909 = 6,909 : x
  2. Step 2: Convert to fraction form
    6,117/6,909 = 6,909/x
  3. Step 3: Cross multiply
    6,117x = 6,909 × 6,909
  4. Step 4: Simplify right side
    6,117x = 47,734,281
  5. Step 5: Solve for x
    x = 47,734,281/6,117
  6. Step 6: Final answer
    x = 7,803.54

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.