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Finding the Third Proportional to 1,659.47 and 2,252.14

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Solution

The third proportional to 1,659.47 and 2,252.14 is: 3,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.47 : 2,252.14 = 2,252.14 : x
  2. Step 2: Convert to fraction form
    1,659.47/2,252.14 = 2,252.14/x
  3. Step 3: Cross multiply
    1,659.47x = 2,252.14 × 2,252.14
  4. Step 4: Simplify right side
    1,659.47x = 5,072,135.20
  5. Step 5: Solve for x
    x = 5,072,135.20/1,659.47
  6. Step 6: Final answer
    x = 3,056.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.