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Finding the Third Proportional to 11,669.06 and 18,561.66

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Solution

The third proportional to 11,669.06 and 18,561.66 is: 29,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.06 : 18,561.66 = 18,561.66 : x
  2. Step 2: Convert to fraction form
    11,669.06/18,561.66 = 18,561.66/x
  3. Step 3: Cross multiply
    11,669.06x = 18,561.66 × 18,561.66
  4. Step 4: Simplify right side
    11,669.06x = 344,535,082.74
  5. Step 5: Solve for x
    x = 344,535,082.74/11,669.06
  6. Step 6: Final answer
    x = 29,525.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.