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Finding the Third Proportional to 5,886 and 7,881

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Solution

The third proportional to 5,886 and 7,881 is: 10,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886 : 7,881 = 7,881 : x
  2. Step 2: Convert to fraction form
    5,886/7,881 = 7,881/x
  3. Step 3: Cross multiply
    5,886x = 7,881 × 7,881
  4. Step 4: Simplify right side
    5,886x = 62,110,161
  5. Step 5: Solve for x
    x = 62,110,161/5,886
  6. Step 6: Final answer
    x = 10,552.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.