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Finding the Third Proportional to 1,016.13 and 2,113.25

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Solution

The third proportional to 1,016.13 and 2,113.25 is: 4,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.13 : 2,113.25 = 2,113.25 : x
  2. Step 2: Convert to fraction form
    1,016.13/2,113.25 = 2,113.25/x
  3. Step 3: Cross multiply
    1,016.13x = 2,113.25 × 2,113.25
  4. Step 4: Simplify right side
    1,016.13x = 4,465,825.56
  5. Step 5: Solve for x
    x = 4,465,825.56/1,016.13
  6. Step 6: Final answer
    x = 4,394.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.