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Finding the Third Proportional to 2,707.31 and 4,100.06

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Solution

The third proportional to 2,707.31 and 4,100.06 is: 6,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.31 : 4,100.06 = 4,100.06 : x
  2. Step 2: Convert to fraction form
    2,707.31/4,100.06 = 4,100.06/x
  3. Step 3: Cross multiply
    2,707.31x = 4,100.06 × 4,100.06
  4. Step 4: Simplify right side
    2,707.31x = 16,810,512.50
  5. Step 5: Solve for x
    x = 16,810,512.50/2,707.31
  6. Step 6: Final answer
    x = 6,209.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.