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Finding the Third Proportional to 11,289.38 and 17,465.63

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Solution

The third proportional to 11,289.38 and 17,465.63 is: 27,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.38 : 17,465.63 = 17,465.63 : x
  2. Step 2: Convert to fraction form
    11,289.38/17,465.63 = 17,465.63/x
  3. Step 3: Cross multiply
    11,289.38x = 17,465.63 × 17,465.63
  4. Step 4: Simplify right side
    11,289.38x = 305,048,056.64
  5. Step 5: Solve for x
    x = 305,048,056.64/11,289.38
  6. Step 6: Final answer
    x = 27,020.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.