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Finding the Third Proportional to 39,408.19 and 59,121.56

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Solution

The third proportional to 39,408.19 and 59,121.56 is: 88,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,408.19 : 59,121.56 = 59,121.56 : x
  2. Step 2: Convert to fraction form
    39,408.19/59,121.56 = 59,121.56/x
  3. Step 3: Cross multiply
    39,408.19x = 59,121.56 × 59,121.56
  4. Step 4: Simplify right side
    39,408.19x = 3,495,359,152.44
  5. Step 5: Solve for x
    x = 3,495,359,152.44/39,408.19
  6. Step 6: Final answer
    x = 88,696.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.