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Finding the Third Proportional to 2,890.69 and 3,822.19

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Solution

The third proportional to 2,890.69 and 3,822.19 is: 5,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.69 : 3,822.19 = 3,822.19 : x
  2. Step 2: Convert to fraction form
    2,890.69/3,822.19 = 3,822.19/x
  3. Step 3: Cross multiply
    2,890.69x = 3,822.19 × 3,822.19
  4. Step 4: Simplify right side
    2,890.69x = 14,609,117.29
  5. Step 5: Solve for x
    x = 14,609,117.29/2,890.69
  6. Step 6: Final answer
    x = 5,053.86

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.