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Finding the Third Proportional to 31,224 and 44,352

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Solution

The third proportional to 31,224 and 44,352 is: 62,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224 : 44,352 = 44,352 : x
  2. Step 2: Convert to fraction form
    31,224/44,352 = 44,352/x
  3. Step 3: Cross multiply
    31,224x = 44,352 × 44,352
  4. Step 4: Simplify right side
    31,224x = 1,967,099,904
  5. Step 5: Solve for x
    x = 1,967,099,904/31,224
  6. Step 6: Final answer
    x = 62,999.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.