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Finding the Third Proportional to 6,098 and 9,111

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Solution

The third proportional to 6,098 and 9,111 is: 13,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098 : 9,111 = 9,111 : x
  2. Step 2: Convert to fraction form
    6,098/9,111 = 9,111/x
  3. Step 3: Cross multiply
    6,098x = 9,111 × 9,111
  4. Step 4: Simplify right side
    6,098x = 83,010,321
  5. Step 5: Solve for x
    x = 83,010,321/6,098
  6. Step 6: Final answer
    x = 13,612.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.