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Finding the Third Proportional to 4,187.81 and 8,861.63

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Solution

The third proportional to 4,187.81 and 8,861.63 is: 18,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.81 : 8,861.63 = 8,861.63 : x
  2. Step 2: Convert to fraction form
    4,187.81/8,861.63 = 8,861.63/x
  3. Step 3: Cross multiply
    4,187.81x = 8,861.63 × 8,861.63
  4. Step 4: Simplify right side
    4,187.81x = 78,528,397.64
  5. Step 5: Solve for x
    x = 78,528,397.64/4,187.81
  6. Step 6: Final answer
    x = 18,751.65

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.