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Finding the Third Proportional to 38,384 and 58,911

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Solution

The third proportional to 38,384 and 58,911 is: 90,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384 : 58,911 = 58,911 : x
  2. Step 2: Convert to fraction form
    38,384/58,911 = 58,911/x
  3. Step 3: Cross multiply
    38,384x = 58,911 × 58,911
  4. Step 4: Simplify right side
    38,384x = 3,470,505,921
  5. Step 5: Solve for x
    x = 3,470,505,921/38,384
  6. Step 6: Final answer
    x = 90,415.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.