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Finding the Third Proportional to 2,731.22 and 5,975.02

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Solution

The third proportional to 2,731.22 and 5,975.02 is: 13,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.22 : 5,975.02 = 5,975.02 : x
  2. Step 2: Convert to fraction form
    2,731.22/5,975.02 = 5,975.02/x
  3. Step 3: Cross multiply
    2,731.22x = 5,975.02 × 5,975.02
  4. Step 4: Simplify right side
    2,731.22x = 35,700,811.72
  5. Step 5: Solve for x
    x = 35,700,811.72/2,731.22
  6. Step 6: Final answer
    x = 13,071.38

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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.