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Finding the Third Proportional to 44,972 and 60,601

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Solution

The third proportional to 44,972 and 60,601 is: 81,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,972 : 60,601 = 60,601 : x
  2. Step 2: Convert to fraction form
    44,972/60,601 = 60,601/x
  3. Step 3: Cross multiply
    44,972x = 60,601 × 60,601
  4. Step 4: Simplify right side
    44,972x = 3,672,481,201
  5. Step 5: Solve for x
    x = 3,672,481,201/44,972
  6. Step 6: Final answer
    x = 81,661.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.