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Finding the Third Proportional to 31,729 and 44,642

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Solution

The third proportional to 31,729 and 44,642 is: 62,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,729 : 44,642 = 44,642 : x
  2. Step 2: Convert to fraction form
    31,729/44,642 = 44,642/x
  3. Step 3: Cross multiply
    31,729x = 44,642 × 44,642
  4. Step 4: Simplify right side
    31,729x = 1,992,908,164
  5. Step 5: Solve for x
    x = 1,992,908,164/31,729
  6. Step 6: Final answer
    x = 62,810.30

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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.