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Finding the Third Proportional to 2,056.92 and 3,312.42

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Solution

The third proportional to 2,056.92 and 3,312.42 is: 5,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.92 : 3,312.42 = 3,312.42 : x
  2. Step 2: Convert to fraction form
    2,056.92/3,312.42 = 3,312.42/x
  3. Step 3: Cross multiply
    2,056.92x = 3,312.42 × 3,312.42
  4. Step 4: Simplify right side
    2,056.92x = 10,972,138.68
  5. Step 5: Solve for x
    x = 10,972,138.68/2,056.92
  6. Step 6: Final answer
    x = 5,334.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.