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Finding the Third Proportional to 2,284.17 and 4,986.84

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Solution

The third proportional to 2,284.17 and 4,986.84 is: 10,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.17 : 4,986.84 = 4,986.84 : x
  2. Step 2: Convert to fraction form
    2,284.17/4,986.84 = 4,986.84/x
  3. Step 3: Cross multiply
    2,284.17x = 4,986.84 × 4,986.84
  4. Step 4: Simplify right side
    2,284.17x = 24,868,610.59
  5. Step 5: Solve for x
    x = 24,868,610.59/2,284.17
  6. Step 6: Final answer
    x = 10,887.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.