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Finding the Third Proportional to 7,237.69 and 11,469.94

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Solution

The third proportional to 7,237.69 and 11,469.94 is: 18,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.69 : 11,469.94 = 11,469.94 : x
  2. Step 2: Convert to fraction form
    7,237.69/11,469.94 = 11,469.94/x
  3. Step 3: Cross multiply
    7,237.69x = 11,469.94 × 11,469.94
  4. Step 4: Simplify right side
    7,237.69x = 131,559,466.25
  5. Step 5: Solve for x
    x = 131,559,466.25/7,237.69
  6. Step 6: Final answer
    x = 18,177.00

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.