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Finding the Third Proportional to 11,193.19 and 23,535.56

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Solution

The third proportional to 11,193.19 and 23,535.56 is: 49,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.19 : 23,535.56 = 23,535.56 : x
  2. Step 2: Convert to fraction form
    11,193.19/23,535.56 = 23,535.56/x
  3. Step 3: Cross multiply
    11,193.19x = 23,535.56 × 23,535.56
  4. Step 4: Simplify right side
    11,193.19x = 553,922,702.19
  5. Step 5: Solve for x
    x = 553,922,702.19/11,193.19
  6. Step 6: Final answer
    x = 49,487.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.