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Finding the Third Proportional to 4,049.37 and 8,848.62

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Solution

The third proportional to 4,049.37 and 8,848.62 is: 19,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.37 : 8,848.62 = 8,848.62 : x
  2. Step 2: Convert to fraction form
    4,049.37/8,848.62 = 8,848.62/x
  3. Step 3: Cross multiply
    4,049.37x = 8,848.62 × 8,848.62
  4. Step 4: Simplify right side
    4,049.37x = 78,298,026.13
  5. Step 5: Solve for x
    x = 78,298,026.13/4,049.37
  6. Step 6: Final answer
    x = 19,335.87

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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.