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Finding the Third Proportional to 1,659.66 and 2,566.27

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Solution

The third proportional to 1,659.66 and 2,566.27 is: 3,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.66 : 2,566.27 = 2,566.27 : x
  2. Step 2: Convert to fraction form
    1,659.66/2,566.27 = 2,566.27/x
  3. Step 3: Cross multiply
    1,659.66x = 2,566.27 × 2,566.27
  4. Step 4: Simplify right side
    1,659.66x = 6,585,719.26
  5. Step 5: Solve for x
    x = 6,585,719.26/1,659.66
  6. Step 6: Final answer
    x = 3,968.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.