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Finding the Third Proportional to 1,072.69 and 1,714.78

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Solution

The third proportional to 1,072.69 and 1,714.78 is: 2,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.69 : 1,714.78 = 1,714.78 : x
  2. Step 2: Convert to fraction form
    1,072.69/1,714.78 = 1,714.78/x
  3. Step 3: Cross multiply
    1,072.69x = 1,714.78 × 1,714.78
  4. Step 4: Simplify right side
    1,072.69x = 2,940,474.74
  5. Step 5: Solve for x
    x = 2,940,474.74/1,072.69
  6. Step 6: Final answer
    x = 2,741.22

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.