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Finding the Third Proportional to 36,803 and 58,371

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Solution

The third proportional to 36,803 and 58,371 is: 92,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,803 : 58,371 = 58,371 : x
  2. Step 2: Convert to fraction form
    36,803/58,371 = 58,371/x
  3. Step 3: Cross multiply
    36,803x = 58,371 × 58,371
  4. Step 4: Simplify right side
    36,803x = 3,407,173,641
  5. Step 5: Solve for x
    x = 3,407,173,641/36,803
  6. Step 6: Final answer
    x = 92,578.69

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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.