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Finding the Third Proportional to 3,139.13 and 5,346.56

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Solution

The third proportional to 3,139.13 and 5,346.56 is: 9,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.13 : 5,346.56 = 5,346.56 : x
  2. Step 2: Convert to fraction form
    3,139.13/5,346.56 = 5,346.56/x
  3. Step 3: Cross multiply
    3,139.13x = 5,346.56 × 5,346.56
  4. Step 4: Simplify right side
    3,139.13x = 28,585,730.57
  5. Step 5: Solve for x
    x = 28,585,730.57/3,139.13
  6. Step 6: Final answer
    x = 9,106.27

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.