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Finding the Third Proportional to 2,286 and 2,458.13

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Solution

The third proportional to 2,286 and 2,458.13 is: 2,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286 : 2,458.13 = 2,458.13 : x
  2. Step 2: Convert to fraction form
    2,286/2,458.13 = 2,458.13/x
  3. Step 3: Cross multiply
    2,286x = 2,458.13 × 2,458.13
  4. Step 4: Simplify right side
    2,286x = 6,042,378.52
  5. Step 5: Solve for x
    x = 6,042,378.52/2,286
  6. Step 6: Final answer
    x = 2,643.21

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.