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Finding the Third Proportional to 10,976.25 and 24,086.63

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Solution

The third proportional to 10,976.25 and 24,086.63 is: 52,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.25 : 24,086.63 = 24,086.63 : x
  2. Step 2: Convert to fraction form
    10,976.25/24,086.63 = 24,086.63/x
  3. Step 3: Cross multiply
    10,976.25x = 24,086.63 × 24,086.63
  4. Step 4: Simplify right side
    10,976.25x = 580,165,503.89
  5. Step 5: Solve for x
    x = 580,165,503.89/10,976.25
  6. Step 6: Final answer
    x = 52,856.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.