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Finding the Third Proportional to 39,823.50 and 60,244.50

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Solution

The third proportional to 39,823.50 and 60,244.50 is: 91,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,823.50 : 60,244.50 = 60,244.50 : x
  2. Step 2: Convert to fraction form
    39,823.50/60,244.50 = 60,244.50/x
  3. Step 3: Cross multiply
    39,823.50x = 60,244.50 × 60,244.50
  4. Step 4: Simplify right side
    39,823.50x = 3,629,399,780.25
  5. Step 5: Solve for x
    x = 3,629,399,780.25/39,823.50
  6. Step 6: Final answer
    x = 91,137.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.