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Finding the Third Proportional to 38,835 and 58,192

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Solution

The third proportional to 38,835 and 58,192 is: 87,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835 : 58,192 = 58,192 : x
  2. Step 2: Convert to fraction form
    38,835/58,192 = 58,192/x
  3. Step 3: Cross multiply
    38,835x = 58,192 × 58,192
  4. Step 4: Simplify right side
    38,835x = 3,386,308,864
  5. Step 5: Solve for x
    x = 3,386,308,864/38,835
  6. Step 6: Final answer
    x = 87,197.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.