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Finding the Third Proportional to 31,402 and 44,009

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Solution

The third proportional to 31,402 and 44,009 is: 61,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402 : 44,009 = 44,009 : x
  2. Step 2: Convert to fraction form
    31,402/44,009 = 44,009/x
  3. Step 3: Cross multiply
    31,402x = 44,009 × 44,009
  4. Step 4: Simplify right side
    31,402x = 1,936,792,081
  5. Step 5: Solve for x
    x = 1,936,792,081/31,402
  6. Step 6: Final answer
    x = 61,677.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.