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Finding the Third Proportional to 2,132.06 and 3,289.22

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Solution

The third proportional to 2,132.06 and 3,289.22 is: 5,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.06 : 3,289.22 = 3,289.22 : x
  2. Step 2: Convert to fraction form
    2,132.06/3,289.22 = 3,289.22/x
  3. Step 3: Cross multiply
    2,132.06x = 3,289.22 × 3,289.22
  4. Step 4: Simplify right side
    2,132.06x = 10,818,959.99
  5. Step 5: Solve for x
    x = 10,818,959.99/2,132.06
  6. Step 6: Final answer
    x = 5,074.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.