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Finding the Third Proportional to 3,071.91 and 5,293.08

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Solution

The third proportional to 3,071.91 and 5,293.08 is: 9,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.91 : 5,293.08 = 5,293.08 : x
  2. Step 2: Convert to fraction form
    3,071.91/5,293.08 = 5,293.08/x
  3. Step 3: Cross multiply
    3,071.91x = 5,293.08 × 5,293.08
  4. Step 4: Simplify right side
    3,071.91x = 28,016,707.05
  5. Step 5: Solve for x
    x = 28,016,707.05/3,071.91
  6. Step 6: Final answer
    x = 9,120.29

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.