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Finding the Third Proportional to 31,040 and 46,857

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Solution

The third proportional to 31,040 and 46,857 is: 70,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040 : 46,857 = 46,857 : x
  2. Step 2: Convert to fraction form
    31,040/46,857 = 46,857/x
  3. Step 3: Cross multiply
    31,040x = 46,857 × 46,857
  4. Step 4: Simplify right side
    31,040x = 2,195,578,449
  5. Step 5: Solve for x
    x = 2,195,578,449/31,040
  6. Step 6: Final answer
    x = 70,733.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.