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Finding the Third Proportional to 11,177.81 and 15,666.75

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Solution

The third proportional to 11,177.81 and 15,666.75 is: 21,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.81 : 15,666.75 = 15,666.75 : x
  2. Step 2: Convert to fraction form
    11,177.81/15,666.75 = 15,666.75/x
  3. Step 3: Cross multiply
    11,177.81x = 15,666.75 × 15,666.75
  4. Step 4: Simplify right side
    11,177.81x = 245,447,055.56
  5. Step 5: Solve for x
    x = 245,447,055.56/11,177.81
  6. Step 6: Final answer
    x = 21,958.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.