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Finding the Third Proportional to 1,005.75 and 2,619.42

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Solution

The third proportional to 1,005.75 and 2,619.42 is: 6,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.75 : 2,619.42 = 2,619.42 : x
  2. Step 2: Convert to fraction form
    1,005.75/2,619.42 = 2,619.42/x
  3. Step 3: Cross multiply
    1,005.75x = 2,619.42 × 2,619.42
  4. Step 4: Simplify right side
    1,005.75x = 6,861,370.96
  5. Step 5: Solve for x
    x = 6,861,370.96/1,005.75
  6. Step 6: Final answer
    x = 6,822.14

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.