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Finding the Third Proportional to 1,522.13 and 2,055.66

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Solution

The third proportional to 1,522.13 and 2,055.66 is: 2,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.13 : 2,055.66 = 2,055.66 : x
  2. Step 2: Convert to fraction form
    1,522.13/2,055.66 = 2,055.66/x
  3. Step 3: Cross multiply
    1,522.13x = 2,055.66 × 2,055.66
  4. Step 4: Simplify right side
    1,522.13x = 4,225,722.62
  5. Step 5: Solve for x
    x = 4,225,722.62/1,522.13
  6. Step 6: Final answer
    x = 2,776.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.