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Finding the Third Proportional to 36,972 and 60,071

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Solution

The third proportional to 36,972 and 60,071 is: 97,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 60,071 = 60,071 : x
  2. Step 2: Convert to fraction form
    36,972/60,071 = 60,071/x
  3. Step 3: Cross multiply
    36,972x = 60,071 × 60,071
  4. Step 4: Simplify right side
    36,972x = 3,608,525,041
  5. Step 5: Solve for x
    x = 3,608,525,041/36,972
  6. Step 6: Final answer
    x = 97,601.56

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.