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Finding the Third Proportional to 36,800 and 58,309

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Solution

The third proportional to 36,800 and 58,309 is: 92,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,800 : 58,309 = 58,309 : x
  2. Step 2: Convert to fraction form
    36,800/58,309 = 58,309/x
  3. Step 3: Cross multiply
    36,800x = 58,309 × 58,309
  4. Step 4: Simplify right side
    36,800x = 3,399,939,481
  5. Step 5: Solve for x
    x = 3,399,939,481/36,800
  6. Step 6: Final answer
    x = 92,389.66

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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.