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Finding the Third Proportional to 2,121.19 and 3,271.22

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Solution

The third proportional to 2,121.19 and 3,271.22 is: 5,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.19 : 3,271.22 = 3,271.22 : x
  2. Step 2: Convert to fraction form
    2,121.19/3,271.22 = 3,271.22/x
  3. Step 3: Cross multiply
    2,121.19x = 3,271.22 × 3,271.22
  4. Step 4: Simplify right side
    2,121.19x = 10,700,872.11
  5. Step 5: Solve for x
    x = 10,700,872.11/2,121.19
  6. Step 6: Final answer
    x = 5,044.76

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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.