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Finding the Third Proportional to 31,889 and 46,859

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Solution

The third proportional to 31,889 and 46,859 is: 68,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889 : 46,859 = 46,859 : x
  2. Step 2: Convert to fraction form
    31,889/46,859 = 46,859/x
  3. Step 3: Cross multiply
    31,889x = 46,859 × 46,859
  4. Step 4: Simplify right side
    31,889x = 2,195,765,881
  5. Step 5: Solve for x
    x = 2,195,765,881/31,889
  6. Step 6: Final answer
    x = 68,856.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.