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Finding the Third Proportional to 11,496.94 and 24,634.13

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Solution

The third proportional to 11,496.94 and 24,634.13 is: 52,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.94 : 24,634.13 = 24,634.13 : x
  2. Step 2: Convert to fraction form
    11,496.94/24,634.13 = 24,634.13/x
  3. Step 3: Cross multiply
    11,496.94x = 24,634.13 × 24,634.13
  4. Step 4: Simplify right side
    11,496.94x = 606,840,114.52
  5. Step 5: Solve for x
    x = 606,840,114.52/11,496.94
  6. Step 6: Final answer
    x = 52,782.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.