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Finding the Third Proportional to 24,161.63 and 51,036.75

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Solution

The third proportional to 24,161.63 and 51,036.75 is: 107,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,161.63 : 51,036.75 = 51,036.75 : x
  2. Step 2: Convert to fraction form
    24,161.63/51,036.75 = 51,036.75/x
  3. Step 3: Cross multiply
    24,161.63x = 51,036.75 × 51,036.75
  4. Step 4: Simplify right side
    24,161.63x = 2,604,749,850.56
  5. Step 5: Solve for x
    x = 2,604,749,850.56/24,161.63
  6. Step 6: Final answer
    x = 107,805.24

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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.