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Finding the Third Proportional to 2,294.58 and 4,999.22

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Solution

The third proportional to 2,294.58 and 4,999.22 is: 10,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.58 : 4,999.22 = 4,999.22 : x
  2. Step 2: Convert to fraction form
    2,294.58/4,999.22 = 4,999.22/x
  3. Step 3: Cross multiply
    2,294.58x = 4,999.22 × 4,999.22
  4. Step 4: Simplify right side
    2,294.58x = 24,992,188.11
  5. Step 5: Solve for x
    x = 24,992,188.11/2,294.58
  6. Step 6: Final answer
    x = 10,891.84

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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.