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Finding the Third Proportional to 36,975 and 57,359

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Solution

The third proportional to 36,975 and 57,359 is: 88,980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,975 : 57,359 = 57,359 : x
  2. Step 2: Convert to fraction form
    36,975/57,359 = 57,359/x
  3. Step 3: Cross multiply
    36,975x = 57,359 × 57,359
  4. Step 4: Simplify right side
    36,975x = 3,290,054,881
  5. Step 5: Solve for x
    x = 3,290,054,881/36,975
  6. Step 6: Final answer
    x = 88,980.52

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