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Finding the Third Proportional to 4,214.53 and 10,179.42

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Solution

The third proportional to 4,214.53 and 10,179.42 is: 24,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.53 : 10,179.42 = 10,179.42 : x
  2. Step 2: Convert to fraction form
    4,214.53/10,179.42 = 10,179.42/x
  3. Step 3: Cross multiply
    4,214.53x = 10,179.42 × 10,179.42
  4. Step 4: Simplify right side
    4,214.53x = 103,620,629.71
  5. Step 5: Solve for x
    x = 103,620,629.71/4,214.53
  6. Step 6: Final answer
    x = 24,586.51

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.