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Finding the Third Proportional to 24,190.31 and 56,917.13

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Solution

The third proportional to 24,190.31 and 56,917.13 is: 133,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190.31 : 56,917.13 = 56,917.13 : x
  2. Step 2: Convert to fraction form
    24,190.31/56,917.13 = 56,917.13/x
  3. Step 3: Cross multiply
    24,190.31x = 56,917.13 × 56,917.13
  4. Step 4: Simplify right side
    24,190.31x = 3,239,559,118.27
  5. Step 5: Solve for x
    x = 3,239,559,118.27/24,190.31
  6. Step 6: Final answer
    x = 133,919.69

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.