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Finding the Third Proportional to 36,824 and 58,402

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Solution

The third proportional to 36,824 and 58,402 is: 92,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,824 : 58,402 = 58,402 : x
  2. Step 2: Convert to fraction form
    36,824/58,402 = 58,402/x
  3. Step 3: Cross multiply
    36,824x = 58,402 × 58,402
  4. Step 4: Simplify right side
    36,824x = 3,410,793,604
  5. Step 5: Solve for x
    x = 3,410,793,604/36,824
  6. Step 6: Final answer
    x = 92,624.20

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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.