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Finding the Third Proportional to 36,971.25 and 57,354

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Solution

The third proportional to 36,971.25 and 57,354 is: 88,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971.25 : 57,354 = 57,354 : x
  2. Step 2: Convert to fraction form
    36,971.25/57,354 = 57,354/x
  3. Step 3: Cross multiply
    36,971.25x = 57,354 × 57,354
  4. Step 4: Simplify right side
    36,971.25x = 3,289,481,316
  5. Step 5: Solve for x
    x = 3,289,481,316/36,971.25
  6. Step 6: Final answer
    x = 88,974.04

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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.