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Finding the Third Proportional to 31,690 and 44,308

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Solution

The third proportional to 31,690 and 44,308 is: 61,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690 : 44,308 = 44,308 : x
  2. Step 2: Convert to fraction form
    31,690/44,308 = 44,308/x
  3. Step 3: Cross multiply
    31,690x = 44,308 × 44,308
  4. Step 4: Simplify right side
    31,690x = 1,963,198,864
  5. Step 5: Solve for x
    x = 1,963,198,864/31,690
  6. Step 6: Final answer
    x = 61,950.11

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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.