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Finding the Third Proportional to 38,346 and 58,917

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Solution

The third proportional to 38,346 and 58,917 is: 90,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346 : 58,917 = 58,917 : x
  2. Step 2: Convert to fraction form
    38,346/58,917 = 58,917/x
  3. Step 3: Cross multiply
    38,346x = 58,917 × 58,917
  4. Step 4: Simplify right side
    38,346x = 3,471,212,889
  5. Step 5: Solve for x
    x = 3,471,212,889/38,346
  6. Step 6: Final answer
    x = 90,523.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.