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Finding the Third Proportional to 2,284.13 and 4,996.13

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Solution

The third proportional to 2,284.13 and 4,996.13 is: 10,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.13 : 4,996.13 = 4,996.13 : x
  2. Step 2: Convert to fraction form
    2,284.13/4,996.13 = 4,996.13/x
  3. Step 3: Cross multiply
    2,284.13x = 4,996.13 × 4,996.13
  4. Step 4: Simplify right side
    2,284.13x = 24,961,265.02
  5. Step 5: Solve for x
    x = 24,961,265.02/2,284.13
  6. Step 6: Final answer
    x = 10,928.15

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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.