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Finding the Third Proportional to 43,210.50 and 65,689.25

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Solution

The third proportional to 43,210.50 and 65,689.25 is: 99,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,210.50 : 65,689.25 = 65,689.25 : x
  2. Step 2: Convert to fraction form
    43,210.50/65,689.25 = 65,689.25/x
  3. Step 3: Cross multiply
    43,210.50x = 65,689.25 × 65,689.25
  4. Step 4: Simplify right side
    43,210.50x = 4,315,077,565.56
  5. Step 5: Solve for x
    x = 4,315,077,565.56/43,210.50
  6. Step 6: Final answer
    x = 99,861.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.