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Finding the Third Proportional to 31,259 and 46,891

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Solution

The third proportional to 31,259 and 46,891 is: 70,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,259 : 46,891 = 46,891 : x
  2. Step 2: Convert to fraction form
    31,259/46,891 = 46,891/x
  3. Step 3: Cross multiply
    31,259x = 46,891 × 46,891
  4. Step 4: Simplify right side
    31,259x = 2,198,765,881
  5. Step 5: Solve for x
    x = 2,198,765,881/31,259
  6. Step 6: Final answer
    x = 70,340.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.