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Finding the Third Proportional to 1,522.13 and 2,283.47

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Solution

The third proportional to 1,522.13 and 2,283.47 is: 3,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.13 : 2,283.47 = 2,283.47 : x
  2. Step 2: Convert to fraction form
    1,522.13/2,283.47 = 2,283.47/x
  3. Step 3: Cross multiply
    1,522.13x = 2,283.47 × 2,283.47
  4. Step 4: Simplify right side
    1,522.13x = 5,214,229.53
  5. Step 5: Solve for x
    x = 5,214,229.53/1,522.13
  6. Step 6: Final answer
    x = 3,425.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.