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Finding the Third Proportional to 24,831 and 58,573.13

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Solution

The third proportional to 24,831 and 58,573.13 is: 138,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,831 : 58,573.13 = 58,573.13 : x
  2. Step 2: Convert to fraction form
    24,831/58,573.13 = 58,573.13/x
  3. Step 3: Cross multiply
    24,831x = 58,573.13 × 58,573.13
  4. Step 4: Simplify right side
    24,831x = 3,430,810,972.27
  5. Step 5: Solve for x
    x = 3,430,810,972.27/24,831
  6. Step 6: Final answer
    x = 138,166.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.