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Finding the Third Proportional to 11,459.92 and 24,164.26

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Solution

The third proportional to 11,459.92 and 24,164.26 is: 50,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.92 : 24,164.26 = 24,164.26 : x
  2. Step 2: Convert to fraction form
    11,459.92/24,164.26 = 24,164.26/x
  3. Step 3: Cross multiply
    11,459.92x = 24,164.26 × 24,164.26
  4. Step 4: Simplify right side
    11,459.92x = 583,911,544.41
  5. Step 5: Solve for x
    x = 583,911,544.41/11,459.92
  6. Step 6: Final answer
    x = 50,952.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.