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Finding the Third Proportional to 39,818.25 and 58,974.75

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Solution

The third proportional to 39,818.25 and 58,974.75 is: 87,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,818.25 : 58,974.75 = 58,974.75 : x
  2. Step 2: Convert to fraction form
    39,818.25/58,974.75 = 58,974.75/x
  3. Step 3: Cross multiply
    39,818.25x = 58,974.75 × 58,974.75
  4. Step 4: Simplify right side
    39,818.25x = 3,478,021,137.56
  5. Step 5: Solve for x
    x = 3,478,021,137.56/39,818.25
  6. Step 6: Final answer
    x = 87,347.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.