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Finding the Third Proportional to 36,975 and 57,363

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Solution

The third proportional to 36,975 and 57,363 is: 88,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,975 : 57,363 = 57,363 : x
  2. Step 2: Convert to fraction form
    36,975/57,363 = 57,363/x
  3. Step 3: Cross multiply
    36,975x = 57,363 × 57,363
  4. Step 4: Simplify right side
    36,975x = 3,290,513,769
  5. Step 5: Solve for x
    x = 3,290,513,769/36,975
  6. Step 6: Final answer
    x = 88,992.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.