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Finding the Third Proportional to 3,953.81 and 6,170.34

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Solution

The third proportional to 3,953.81 and 6,170.34 is: 9,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.81 : 6,170.34 = 6,170.34 : x
  2. Step 2: Convert to fraction form
    3,953.81/6,170.34 = 6,170.34/x
  3. Step 3: Cross multiply
    3,953.81x = 6,170.34 × 6,170.34
  4. Step 4: Simplify right side
    3,953.81x = 38,073,141.99
  5. Step 5: Solve for x
    x = 38,073,141.99/3,953.81
  6. Step 6: Final answer
    x = 9,629.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.