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Finding the Third Proportional to 36,780 and 58,272

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Solution

The third proportional to 36,780 and 58,272 is: 92,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,780 : 58,272 = 58,272 : x
  2. Step 2: Convert to fraction form
    36,780/58,272 = 58,272/x
  3. Step 3: Cross multiply
    36,780x = 58,272 × 58,272
  4. Step 4: Simplify right side
    36,780x = 3,395,625,984
  5. Step 5: Solve for x
    x = 3,395,625,984/36,780
  6. Step 6: Final answer
    x = 92,322.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.