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Finding the Third Proportional to 40,954.50 and 65,120.25

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Solution

The third proportional to 40,954.50 and 65,120.25 is: 103,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,954.50 : 65,120.25 = 65,120.25 : x
  2. Step 2: Convert to fraction form
    40,954.50/65,120.25 = 65,120.25/x
  3. Step 3: Cross multiply
    40,954.50x = 65,120.25 × 65,120.25
  4. Step 4: Simplify right side
    40,954.50x = 4,240,646,960.06
  5. Step 5: Solve for x
    x = 4,240,646,960.06/40,954.50
  6. Step 6: Final answer
    x = 103,545.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.