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Finding the Third Proportional to 2,998.58 and 4,497.87

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Solution

The third proportional to 2,998.58 and 4,497.87 is: 6,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.58 : 4,497.87 = 4,497.87 : x
  2. Step 2: Convert to fraction form
    2,998.58/4,497.87 = 4,497.87/x
  3. Step 3: Cross multiply
    2,998.58x = 4,497.87 × 4,497.87
  4. Step 4: Simplify right side
    2,998.58x = 20,230,861.95
  5. Step 5: Solve for x
    x = 20,230,861.95/2,998.58
  6. Step 6: Final answer
    x = 6,746.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.