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Finding the Third Proportional to 23,691.94 and 52,638.19

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Solution

The third proportional to 23,691.94 and 52,638.19 is: 116,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.94 : 52,638.19 = 52,638.19 : x
  2. Step 2: Convert to fraction form
    23,691.94/52,638.19 = 52,638.19/x
  3. Step 3: Cross multiply
    23,691.94x = 52,638.19 × 52,638.19
  4. Step 4: Simplify right side
    23,691.94x = 2,770,778,783.29
  5. Step 5: Solve for x
    x = 2,770,778,783.29/23,691.94
  6. Step 6: Final answer
    x = 116,950.28

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.