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Finding the Third Proportional to 5,146 and 10,859

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Solution

The third proportional to 5,146 and 10,859 is: 22,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146 : 10,859 = 10,859 : x
  2. Step 2: Convert to fraction form
    5,146/10,859 = 10,859/x
  3. Step 3: Cross multiply
    5,146x = 10,859 × 10,859
  4. Step 4: Simplify right side
    5,146x = 117,917,881
  5. Step 5: Solve for x
    x = 117,917,881/5,146
  6. Step 6: Final answer
    x = 22,914.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.