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Finding the Third Proportional to 6,085.13 and 8,136.70

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Solution

The third proportional to 6,085.13 and 8,136.70 is: 10,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.13 : 8,136.70 = 8,136.70 : x
  2. Step 2: Convert to fraction form
    6,085.13/8,136.70 = 8,136.70/x
  3. Step 3: Cross multiply
    6,085.13x = 8,136.70 × 8,136.70
  4. Step 4: Simplify right side
    6,085.13x = 66,205,937.74
  5. Step 5: Solve for x
    x = 66,205,937.74/6,085.13
  6. Step 6: Final answer
    x = 10,879.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.