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Finding the Third Proportional to 2,998.69 and 4,505.63

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Solution

The third proportional to 2,998.69 and 4,505.63 is: 6,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.69 : 4,505.63 = 4,505.63 : x
  2. Step 2: Convert to fraction form
    2,998.69/4,505.63 = 4,505.63/x
  3. Step 3: Cross multiply
    2,998.69x = 4,505.63 × 4,505.63
  4. Step 4: Simplify right side
    2,998.69x = 20,300,656.64
  5. Step 5: Solve for x
    x = 20,300,656.64/2,998.69
  6. Step 6: Final answer
    x = 6,769.85

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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.