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Finding the Third Proportional to 6,333.19 and 17,230.22

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Solution

The third proportional to 6,333.19 and 17,230.22 is: 46,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.19 : 17,230.22 = 17,230.22 : x
  2. Step 2: Convert to fraction form
    6,333.19/17,230.22 = 17,230.22/x
  3. Step 3: Cross multiply
    6,333.19x = 17,230.22 × 17,230.22
  4. Step 4: Simplify right side
    6,333.19x = 296,880,438.17
  5. Step 5: Solve for x
    x = 296,880,438.17/6,333.19
  6. Step 6: Final answer
    x = 46,876.94

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.