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Finding the Third Proportional to 1,284.08 and 2,763.18

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Solution

The third proportional to 1,284.08 and 2,763.18 is: 5,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.08 : 2,763.18 = 2,763.18 : x
  2. Step 2: Convert to fraction form
    1,284.08/2,763.18 = 2,763.18/x
  3. Step 3: Cross multiply
    1,284.08x = 2,763.18 × 2,763.18
  4. Step 4: Simplify right side
    1,284.08x = 7,635,140.40
  5. Step 5: Solve for x
    x = 7,635,140.40/1,284.08
  6. Step 6: Final answer
    x = 5,945.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.