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Finding the Third Proportional to 23,703.89 and 51,781.78

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Solution

The third proportional to 23,703.89 and 51,781.78 is: 113,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,703.89 : 51,781.78 = 51,781.78 : x
  2. Step 2: Convert to fraction form
    23,703.89/51,781.78 = 51,781.78/x
  3. Step 3: Cross multiply
    23,703.89x = 51,781.78 × 51,781.78
  4. Step 4: Simplify right side
    23,703.89x = 2,681,352,869.42
  5. Step 5: Solve for x
    x = 2,681,352,869.42/23,703.89
  6. Step 6: Final answer
    x = 113,118.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.