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Finding the Third Proportional to 11,283.94 and 24,451.13

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Solution

The third proportional to 11,283.94 and 24,451.13 is: 52,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.94 : 24,451.13 = 24,451.13 : x
  2. Step 2: Convert to fraction form
    11,283.94/24,451.13 = 24,451.13/x
  3. Step 3: Cross multiply
    11,283.94x = 24,451.13 × 24,451.13
  4. Step 4: Simplify right side
    11,283.94x = 597,857,513.77
  5. Step 5: Solve for x
    x = 597,857,513.77/11,283.94
  6. Step 6: Final answer
    x = 52,983.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.