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Finding the Third Proportional to 36,746 and 58,262

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Solution

The third proportional to 36,746 and 58,262 is: 92,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,746 : 58,262 = 58,262 : x
  2. Step 2: Convert to fraction form
    36,746/58,262 = 58,262/x
  3. Step 3: Cross multiply
    36,746x = 58,262 × 58,262
  4. Step 4: Simplify right side
    36,746x = 3,394,460,644
  5. Step 5: Solve for x
    x = 3,394,460,644/36,746
  6. Step 6: Final answer
    x = 92,376.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.