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Finding the Third Proportional to 31,244.50 and 44,529.50

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Solution

The third proportional to 31,244.50 and 44,529.50 is: 63,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,244.50 : 44,529.50 = 44,529.50 : x
  2. Step 2: Convert to fraction form
    31,244.50/44,529.50 = 44,529.50/x
  3. Step 3: Cross multiply
    31,244.50x = 44,529.50 × 44,529.50
  4. Step 4: Simplify right side
    31,244.50x = 1,982,876,370.25
  5. Step 5: Solve for x
    x = 1,982,876,370.25/31,244.50
  6. Step 6: Final answer
    x = 63,463.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.