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Finding the Third Proportional to 31,972 and 44,502

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Solution

The third proportional to 31,972 and 44,502 is: 61,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972 : 44,502 = 44,502 : x
  2. Step 2: Convert to fraction form
    31,972/44,502 = 44,502/x
  3. Step 3: Cross multiply
    31,972x = 44,502 × 44,502
  4. Step 4: Simplify right side
    31,972x = 1,980,428,004
  5. Step 5: Solve for x
    x = 1,980,428,004/31,972
  6. Step 6: Final answer
    x = 61,942.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.