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Finding the Third Proportional to 3,102.75 and 5,293.13

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Solution

The third proportional to 3,102.75 and 5,293.13 is: 9,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.75 : 5,293.13 = 5,293.13 : x
  2. Step 2: Convert to fraction form
    3,102.75/5,293.13 = 5,293.13/x
  3. Step 3: Cross multiply
    3,102.75x = 5,293.13 × 5,293.13
  4. Step 4: Simplify right side
    3,102.75x = 28,017,172.27
  5. Step 5: Solve for x
    x = 28,017,172.27/3,102.75
  6. Step 6: Final answer
    x = 9,029.79

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.