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Finding the Third Proportional to 6,085.13 and 11,319.75

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Solution

The third proportional to 6,085.13 and 11,319.75 is: 21,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.13 : 11,319.75 = 11,319.75 : x
  2. Step 2: Convert to fraction form
    6,085.13/11,319.75 = 11,319.75/x
  3. Step 3: Cross multiply
    6,085.13x = 11,319.75 × 11,319.75
  4. Step 4: Simplify right side
    6,085.13x = 128,136,740.06
  5. Step 5: Solve for x
    x = 128,136,740.06/6,085.13
  6. Step 6: Final answer
    x = 21,057.37

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.