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Finding the Third Proportional to 4,214.53 and 8,203.78

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Solution

The third proportional to 4,214.53 and 8,203.78 is: 15,969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.53 : 8,203.78 = 8,203.78 : x
  2. Step 2: Convert to fraction form
    4,214.53/8,203.78 = 8,203.78/x
  3. Step 3: Cross multiply
    4,214.53x = 8,203.78 × 8,203.78
  4. Step 4: Simplify right side
    4,214.53x = 67,302,026.80
  5. Step 5: Solve for x
    x = 67,302,026.80/4,214.53
  6. Step 6: Final answer
    x = 15,969.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.