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Finding the Third Proportional to 2,731.75 and 5,988.88

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Solution

The third proportional to 2,731.75 and 5,988.88 is: 13,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.75 : 5,988.88 = 5,988.88 : x
  2. Step 2: Convert to fraction form
    2,731.75/5,988.88 = 5,988.88/x
  3. Step 3: Cross multiply
    2,731.75x = 5,988.88 × 5,988.88
  4. Step 4: Simplify right side
    2,731.75x = 35,866,623.77
  5. Step 5: Solve for x
    x = 35,866,623.77/2,731.75
  6. Step 6: Final answer
    x = 13,129.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.