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Finding the Third Proportional to 2,316.09 and 5,091.61

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Solution

The third proportional to 2,316.09 and 5,091.61 is: 11,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.09 : 5,091.61 = 5,091.61 : x
  2. Step 2: Convert to fraction form
    2,316.09/5,091.61 = 5,091.61/x
  3. Step 3: Cross multiply
    2,316.09x = 5,091.61 × 5,091.61
  4. Step 4: Simplify right side
    2,316.09x = 25,924,486.03
  5. Step 5: Solve for x
    x = 25,924,486.03/2,316.09
  6. Step 6: Final answer
    x = 11,193.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.