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Finding the Third Proportional to 36,858 and 58,446

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Solution

The third proportional to 36,858 and 58,446 is: 92,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,858 : 58,446 = 58,446 : x
  2. Step 2: Convert to fraction form
    36,858/58,446 = 58,446/x
  3. Step 3: Cross multiply
    36,858x = 58,446 × 58,446
  4. Step 4: Simplify right side
    36,858x = 3,415,934,916
  5. Step 5: Solve for x
    x = 3,415,934,916/36,858
  6. Step 6: Final answer
    x = 92,678.25

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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.