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Finding the Third Proportional to 2,089.13 and 2,286

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Solution

The third proportional to 2,089.13 and 2,286 is: 2,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.13 : 2,286 = 2,286 : x
  2. Step 2: Convert to fraction form
    2,089.13/2,286 = 2,286/x
  3. Step 3: Cross multiply
    2,089.13x = 2,286 × 2,286
  4. Step 4: Simplify right side
    2,089.13x = 5,225,796
  5. Step 5: Solve for x
    x = 5,225,796/2,089.13
  6. Step 6: Final answer
    x = 2,501.43

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.