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Finding the Third Proportional to 1,061.94 and 2,171.13

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Solution

The third proportional to 1,061.94 and 2,171.13 is: 4,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.94 : 2,171.13 = 2,171.13 : x
  2. Step 2: Convert to fraction form
    1,061.94/2,171.13 = 2,171.13/x
  3. Step 3: Cross multiply
    1,061.94x = 2,171.13 × 2,171.13
  4. Step 4: Simplify right side
    1,061.94x = 4,713,783.77
  5. Step 5: Solve for x
    x = 4,713,783.77/1,061.94
  6. Step 6: Final answer
    x = 4,438.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.