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Finding the Third Proportional to 2,486.80 and 5,276.35

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Solution

The third proportional to 2,486.80 and 5,276.35 is: 11,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.80 : 5,276.35 = 5,276.35 : x
  2. Step 2: Convert to fraction form
    2,486.80/5,276.35 = 5,276.35/x
  3. Step 3: Cross multiply
    2,486.80x = 5,276.35 × 5,276.35
  4. Step 4: Simplify right side
    2,486.80x = 27,839,880.66
  5. Step 5: Solve for x
    x = 27,839,880.66/2,486.80
  6. Step 6: Final answer
    x = 11,195.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.