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Finding the Third Proportional to 36,720 and 58,369

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Solution

The third proportional to 36,720 and 58,369 is: 92,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,720 : 58,369 = 58,369 : x
  2. Step 2: Convert to fraction form
    36,720/58,369 = 58,369/x
  3. Step 3: Cross multiply
    36,720x = 58,369 × 58,369
  4. Step 4: Simplify right side
    36,720x = 3,406,940,161
  5. Step 5: Solve for x
    x = 3,406,940,161/36,720
  6. Step 6: Final answer
    x = 92,781.59

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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.