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Finding the Third Proportional to 31,648 and 44,526

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Solution

The third proportional to 31,648 and 44,526 is: 62,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648 : 44,526 = 44,526 : x
  2. Step 2: Convert to fraction form
    31,648/44,526 = 44,526/x
  3. Step 3: Cross multiply
    31,648x = 44,526 × 44,526
  4. Step 4: Simplify right side
    31,648x = 1,982,564,676
  5. Step 5: Solve for x
    x = 1,982,564,676/31,648
  6. Step 6: Final answer
    x = 62,644.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.