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Finding the Third Proportional to 11,016.38 and 23,288.63

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Solution

The third proportional to 11,016.38 and 23,288.63 is: 49,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016.38 : 23,288.63 = 23,288.63 : x
  2. Step 2: Convert to fraction form
    11,016.38/23,288.63 = 23,288.63/x
  3. Step 3: Cross multiply
    11,016.38x = 23,288.63 × 23,288.63
  4. Step 4: Simplify right side
    11,016.38x = 542,360,054.39
  5. Step 5: Solve for x
    x = 542,360,054.39/11,016.38
  6. Step 6: Final answer
    x = 49,232.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.