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Finding the Third Proportional to 3,170.81 and 4,743.56

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Solution

The third proportional to 3,170.81 and 4,743.56 is: 7,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.81 : 4,743.56 = 4,743.56 : x
  2. Step 2: Convert to fraction form
    3,170.81/4,743.56 = 4,743.56/x
  3. Step 3: Cross multiply
    3,170.81x = 4,743.56 × 4,743.56
  4. Step 4: Simplify right side
    3,170.81x = 22,501,385.19
  5. Step 5: Solve for x
    x = 22,501,385.19/3,170.81
  6. Step 6: Final answer
    x = 7,096.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.