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Finding the Third Proportional to 40,099.50 and 62,338.50

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Solution

The third proportional to 40,099.50 and 62,338.50 is: 96,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,099.50 : 62,338.50 = 62,338.50 : x
  2. Step 2: Convert to fraction form
    40,099.50/62,338.50 = 62,338.50/x
  3. Step 3: Cross multiply
    40,099.50x = 62,338.50 × 62,338.50
  4. Step 4: Simplify right side
    40,099.50x = 3,886,088,582.25
  5. Step 5: Solve for x
    x = 3,886,088,582.25/40,099.50
  6. Step 6: Final answer
    x = 96,911.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.