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Finding the Third Proportional to 36,971 and 57,921

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Solution

The third proportional to 36,971 and 57,921 is: 90,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971 : 57,921 = 57,921 : x
  2. Step 2: Convert to fraction form
    36,971/57,921 = 57,921/x
  3. Step 3: Cross multiply
    36,971x = 57,921 × 57,921
  4. Step 4: Simplify right side
    36,971x = 3,354,842,241
  5. Step 5: Solve for x
    x = 3,354,842,241/36,971
  6. Step 6: Final answer
    x = 90,742.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.