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Finding the Third Proportional to 1,463.91 and 3,172.92

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Solution

The third proportional to 1,463.91 and 3,172.92 is: 6,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.91 : 3,172.92 = 3,172.92 : x
  2. Step 2: Convert to fraction form
    1,463.91/3,172.92 = 3,172.92/x
  3. Step 3: Cross multiply
    1,463.91x = 3,172.92 × 3,172.92
  4. Step 4: Simplify right side
    1,463.91x = 10,067,433.22
  5. Step 5: Solve for x
    x = 10,067,433.22/1,463.91
  6. Step 6: Final answer
    x = 6,877.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.