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Finding the Third Proportional to 38,254 and 58,191

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Solution

The third proportional to 38,254 and 58,191 is: 88,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254 : 58,191 = 58,191 : x
  2. Step 2: Convert to fraction form
    38,254/58,191 = 58,191/x
  3. Step 3: Cross multiply
    38,254x = 58,191 × 58,191
  4. Step 4: Simplify right side
    38,254x = 3,386,192,481
  5. Step 5: Solve for x
    x = 3,386,192,481/38,254
  6. Step 6: Final answer
    x = 88,518.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.