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Finding the Third Proportional to 11,382.19 and 23,216.06

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Solution

The third proportional to 11,382.19 and 23,216.06 is: 47,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.19 : 23,216.06 = 23,216.06 : x
  2. Step 2: Convert to fraction form
    11,382.19/23,216.06 = 23,216.06/x
  3. Step 3: Cross multiply
    11,382.19x = 23,216.06 × 23,216.06
  4. Step 4: Simplify right side
    11,382.19x = 538,985,558.00
  5. Step 5: Solve for x
    x = 538,985,558.00/11,382.19
  6. Step 6: Final answer
    x = 47,353.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.