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Finding the Third Proportional to 1,566.75 and 2,446.88

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Solution

The third proportional to 1,566.75 and 2,446.88 is: 3,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.75 : 2,446.88 = 2,446.88 : x
  2. Step 2: Convert to fraction form
    1,566.75/2,446.88 = 2,446.88/x
  3. Step 3: Cross multiply
    1,566.75x = 2,446.88 × 2,446.88
  4. Step 4: Simplify right side
    1,566.75x = 5,987,197.27
  5. Step 5: Solve for x
    x = 5,987,197.27/1,566.75
  6. Step 6: Final answer
    x = 3,821.41

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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.