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Finding the Third Proportional to 26,569.50 and 36,102.75

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Solution

The third proportional to 26,569.50 and 36,102.75 is: 49,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,569.50 : 36,102.75 = 36,102.75 : x
  2. Step 2: Convert to fraction form
    26,569.50/36,102.75 = 36,102.75/x
  3. Step 3: Cross multiply
    26,569.50x = 36,102.75 × 36,102.75
  4. Step 4: Simplify right side
    26,569.50x = 1,303,408,557.56
  5. Step 5: Solve for x
    x = 1,303,408,557.56/26,569.50
  6. Step 6: Final answer
    x = 49,056.57

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.