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Finding the Third Proportional to 1,076.41 and 1,727.10

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Solution

The third proportional to 1,076.41 and 1,727.10 is: 2,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.41 : 1,727.10 = 1,727.10 : x
  2. Step 2: Convert to fraction form
    1,076.41/1,727.10 = 1,727.10/x
  3. Step 3: Cross multiply
    1,076.41x = 1,727.10 × 1,727.10
  4. Step 4: Simplify right side
    1,076.41x = 2,982,886.55
  5. Step 5: Solve for x
    x = 2,982,886.55/1,076.41
  6. Step 6: Final answer
    x = 2,771.13

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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.