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Finding the Third Proportional to 6,142 and 8,653

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Solution

The third proportional to 6,142 and 8,653 is: 12,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142 : 8,653 = 8,653 : x
  2. Step 2: Convert to fraction form
    6,142/8,653 = 8,653/x
  3. Step 3: Cross multiply
    6,142x = 8,653 × 8,653
  4. Step 4: Simplify right side
    6,142x = 74,874,409
  5. Step 5: Solve for x
    x = 74,874,409/6,142
  6. Step 6: Final answer
    x = 12,190.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.