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Finding the Third Proportional to 1,566.75 and 3,343.88

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Solution

The third proportional to 1,566.75 and 3,343.88 is: 7,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.75 : 3,343.88 = 3,343.88 : x
  2. Step 2: Convert to fraction form
    1,566.75/3,343.88 = 3,343.88/x
  3. Step 3: Cross multiply
    1,566.75x = 3,343.88 × 3,343.88
  4. Step 4: Simplify right side
    1,566.75x = 11,181,500.02
  5. Step 5: Solve for x
    x = 11,181,500.02/1,566.75
  6. Step 6: Final answer
    x = 7,136.75

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.