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Finding the Third Proportional to 1,566.75 and 3,714.38

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Solution

The third proportional to 1,566.75 and 3,714.38 is: 8,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.75 : 3,714.38 = 3,714.38 : x
  2. Step 2: Convert to fraction form
    1,566.75/3,714.38 = 3,714.38/x
  3. Step 3: Cross multiply
    1,566.75x = 3,714.38 × 3,714.38
  4. Step 4: Simplify right side
    1,566.75x = 13,796,581.64
  5. Step 5: Solve for x
    x = 13,796,581.64/1,566.75
  6. Step 6: Final answer
    x = 8,805.86

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.