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Finding the Third Proportional to 2,016.14 and 2,295.21

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Solution

The third proportional to 2,016.14 and 2,295.21 is: 2,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.14 : 2,295.21 = 2,295.21 : x
  2. Step 2: Convert to fraction form
    2,016.14/2,295.21 = 2,295.21/x
  3. Step 3: Cross multiply
    2,016.14x = 2,295.21 × 2,295.21
  4. Step 4: Simplify right side
    2,016.14x = 5,267,993.25
  5. Step 5: Solve for x
    x = 5,267,993.25/2,016.14
  6. Step 6: Final answer
    x = 2,612.91

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.