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Finding the Third Proportional to 10,643.06 and 24,861.09

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Solution

The third proportional to 10,643.06 and 24,861.09 is: 58,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.06 : 24,861.09 = 24,861.09 : x
  2. Step 2: Convert to fraction form
    10,643.06/24,861.09 = 24,861.09/x
  3. Step 3: Cross multiply
    10,643.06x = 24,861.09 × 24,861.09
  4. Step 4: Simplify right side
    10,643.06x = 618,073,982.45
  5. Step 5: Solve for x
    x = 618,073,982.45/10,643.06
  6. Step 6: Final answer
    x = 58,072.94

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.