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Finding the Third Proportional to 41,991 and 65,014.50

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Solution

The third proportional to 41,991 and 65,014.50 is: 100,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,991 : 65,014.50 = 65,014.50 : x
  2. Step 2: Convert to fraction form
    41,991/65,014.50 = 65,014.50/x
  3. Step 3: Cross multiply
    41,991x = 65,014.50 × 65,014.50
  4. Step 4: Simplify right side
    41,991x = 4,226,885,210.25
  5. Step 5: Solve for x
    x = 4,226,885,210.25/41,991
  6. Step 6: Final answer
    x = 100,661.69

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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.