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Finding the Third Proportional to 26,122.50 and 55,677.38

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Solution

The third proportional to 26,122.50 and 55,677.38 is: 118,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,122.50 : 55,677.38 = 55,677.38 : x
  2. Step 2: Convert to fraction form
    26,122.50/55,677.38 = 55,677.38/x
  3. Step 3: Cross multiply
    26,122.50x = 55,677.38 × 55,677.38
  4. Step 4: Simplify right side
    26,122.50x = 3,099,970,086.89
  5. Step 5: Solve for x
    x = 3,099,970,086.89/26,122.50
  6. Step 6: Final answer
    x = 118,670.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.