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Finding the Third Proportional to 1,614.94 and 2,522.39

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Solution

The third proportional to 1,614.94 and 2,522.39 is: 3,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.94 : 2,522.39 = 2,522.39 : x
  2. Step 2: Convert to fraction form
    1,614.94/2,522.39 = 2,522.39/x
  3. Step 3: Cross multiply
    1,614.94x = 2,522.39 × 2,522.39
  4. Step 4: Simplify right side
    1,614.94x = 6,362,454.47
  5. Step 5: Solve for x
    x = 6,362,454.47/1,614.94
  6. Step 6: Final answer
    x = 3,939.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.