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Finding the Third Proportional to 6,106 and 8,538

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Solution

The third proportional to 6,106 and 8,538 is: 11,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106 : 8,538 = 8,538 : x
  2. Step 2: Convert to fraction form
    6,106/8,538 = 8,538/x
  3. Step 3: Cross multiply
    6,106x = 8,538 × 8,538
  4. Step 4: Simplify right side
    6,106x = 72,897,444
  5. Step 5: Solve for x
    x = 72,897,444/6,106
  6. Step 6: Final answer
    x = 11,938.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.