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Finding the Third Proportional to 7,669.69 and 11,261.53

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Solution

The third proportional to 7,669.69 and 11,261.53 is: 16,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 11,261.53 = 11,261.53 : x
  2. Step 2: Convert to fraction form
    7,669.69/11,261.53 = 11,261.53/x
  3. Step 3: Cross multiply
    7,669.69x = 11,261.53 × 11,261.53
  4. Step 4: Simplify right side
    7,669.69x = 126,822,086.09
  5. Step 5: Solve for x
    x = 126,822,086.09/7,669.69
  6. Step 6: Final answer
    x = 16,535.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.