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Finding the Third Proportional to 2,809.69 and 4,214.53

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Solution

The third proportional to 2,809.69 and 4,214.53 is: 6,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.69 : 4,214.53 = 4,214.53 : x
  2. Step 2: Convert to fraction form
    2,809.69/4,214.53 = 4,214.53/x
  3. Step 3: Cross multiply
    2,809.69x = 4,214.53 × 4,214.53
  4. Step 4: Simplify right side
    2,809.69x = 17,762,273.66
  5. Step 5: Solve for x
    x = 17,762,273.66/2,809.69
  6. Step 6: Final answer
    x = 6,321.80

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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.