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Finding the Third Proportional to 2,053.69 and 3,849.19

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Solution

The third proportional to 2,053.69 and 3,849.19 is: 7,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.69 : 3,849.19 = 3,849.19 : x
  2. Step 2: Convert to fraction form
    2,053.69/3,849.19 = 3,849.19/x
  3. Step 3: Cross multiply
    2,053.69x = 3,849.19 × 3,849.19
  4. Step 4: Simplify right side
    2,053.69x = 14,816,244.41
  5. Step 5: Solve for x
    x = 14,816,244.41/2,053.69
  6. Step 6: Final answer
    x = 7,214.46

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.