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Finding the Third Proportional to 1,282.22 and 2,803.78

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Solution

The third proportional to 1,282.22 and 2,803.78 is: 6,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.22 : 2,803.78 = 2,803.78 : x
  2. Step 2: Convert to fraction form
    1,282.22/2,803.78 = 2,803.78/x
  3. Step 3: Cross multiply
    1,282.22x = 2,803.78 × 2,803.78
  4. Step 4: Simplify right side
    1,282.22x = 7,861,189.30
  5. Step 5: Solve for x
    x = 7,861,189.30/1,282.22
  6. Step 6: Final answer
    x = 6,130.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.