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Finding the Third Proportional to 6,194.25 and 9,237.38

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Solution

The third proportional to 6,194.25 and 9,237.38 is: 13,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.25 : 9,237.38 = 9,237.38 : x
  2. Step 2: Convert to fraction form
    6,194.25/9,237.38 = 9,237.38/x
  3. Step 3: Cross multiply
    6,194.25x = 9,237.38 × 9,237.38
  4. Step 4: Simplify right side
    6,194.25x = 85,329,096.89
  5. Step 5: Solve for x
    x = 85,329,096.89/6,194.25
  6. Step 6: Final answer
    x = 13,775.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.