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Finding the Third Proportional to 11,990.50 and 24,457

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Solution

The third proportional to 11,990.50 and 24,457 is: 49,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,990.50 : 24,457 = 24,457 : x
  2. Step 2: Convert to fraction form
    11,990.50/24,457 = 24,457/x
  3. Step 3: Cross multiply
    11,990.50x = 24,457 × 24,457
  4. Step 4: Simplify right side
    11,990.50x = 598,144,849
  5. Step 5: Solve for x
    x = 598,144,849/11,990.50
  6. Step 6: Final answer
    x = 49,884.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.