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Finding the Third Proportional to 1,522.15 and 3,271.76

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Solution

The third proportional to 1,522.15 and 3,271.76 is: 7,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.15 : 3,271.76 = 3,271.76 : x
  2. Step 2: Convert to fraction form
    1,522.15/3,271.76 = 3,271.76/x
  3. Step 3: Cross multiply
    1,522.15x = 3,271.76 × 3,271.76
  4. Step 4: Simplify right side
    1,522.15x = 10,704,399.18
  5. Step 5: Solve for x
    x = 10,704,399.18/1,522.15
  6. Step 6: Final answer
    x = 7,032.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.