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Finding the Third Proportional to 6,363.19 and 9,436.38

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Solution

The third proportional to 6,363.19 and 9,436.38 is: 13,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.19 : 9,436.38 = 9,436.38 : x
  2. Step 2: Convert to fraction form
    6,363.19/9,436.38 = 9,436.38/x
  3. Step 3: Cross multiply
    6,363.19x = 9,436.38 × 9,436.38
  4. Step 4: Simplify right side
    6,363.19x = 89,045,173.14
  5. Step 5: Solve for x
    x = 89,045,173.14/6,363.19
  6. Step 6: Final answer
    x = 13,993.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.