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Finding the Third Proportional to 1,522.13 and 3,271.64

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Solution

The third proportional to 1,522.13 and 3,271.64 is: 7,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.13 : 3,271.64 = 3,271.64 : x
  2. Step 2: Convert to fraction form
    1,522.13/3,271.64 = 3,271.64/x
  3. Step 3: Cross multiply
    1,522.13x = 3,271.64 × 3,271.64
  4. Step 4: Simplify right side
    1,522.13x = 10,703,632.38
  5. Step 5: Solve for x
    x = 10,703,632.38/1,522.13
  6. Step 6: Final answer
    x = 7,032.03

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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.