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Finding the Third Proportional to 2,583.14 and 5,616.84

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Solution

The third proportional to 2,583.14 and 5,616.84 is: 12,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.14 : 5,616.84 = 5,616.84 : x
  2. Step 2: Convert to fraction form
    2,583.14/5,616.84 = 5,616.84/x
  3. Step 3: Cross multiply
    2,583.14x = 5,616.84 × 5,616.84
  4. Step 4: Simplify right side
    2,583.14x = 31,548,933.71
  5. Step 5: Solve for x
    x = 31,548,933.71/2,583.14
  6. Step 6: Final answer
    x = 12,213.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.