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Finding the Third Proportional to 31,887 and 49,653

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Solution

The third proportional to 31,887 and 49,653 is: 77,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,887 : 49,653 = 49,653 : x
  2. Step 2: Convert to fraction form
    31,887/49,653 = 49,653/x
  3. Step 3: Cross multiply
    31,887x = 49,653 × 49,653
  4. Step 4: Simplify right side
    31,887x = 2,465,420,409
  5. Step 5: Solve for x
    x = 2,465,420,409/31,887
  6. Step 6: Final answer
    x = 77,317.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.