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Finding the Third Proportional to 5,698.13 and 11,850.19

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Solution

The third proportional to 5,698.13 and 11,850.19 is: 24,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.13 : 11,850.19 = 11,850.19 : x
  2. Step 2: Convert to fraction form
    5,698.13/11,850.19 = 11,850.19/x
  3. Step 3: Cross multiply
    5,698.13x = 11,850.19 × 11,850.19
  4. Step 4: Simplify right side
    5,698.13x = 140,426,943.79
  5. Step 5: Solve for x
    x = 140,426,943.79/5,698.13
  6. Step 6: Final answer
    x = 24,644.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.