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Finding the Third Proportional to 2,890.85 and 6,323.22

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Solution

The third proportional to 2,890.85 and 6,323.22 is: 13,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.85 : 6,323.22 = 6,323.22 : x
  2. Step 2: Convert to fraction form
    2,890.85/6,323.22 = 6,323.22/x
  3. Step 3: Cross multiply
    2,890.85x = 6,323.22 × 6,323.22
  4. Step 4: Simplify right side
    2,890.85x = 39,983,120.06
  5. Step 5: Solve for x
    x = 39,983,120.06/2,890.85
  6. Step 6: Final answer
    x = 13,830.94

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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.