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Finding the Third Proportional to 10,686 and 15,971

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Solution

The third proportional to 10,686 and 15,971 is: 23,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686 : 15,971 = 15,971 : x
  2. Step 2: Convert to fraction form
    10,686/15,971 = 15,971/x
  3. Step 3: Cross multiply
    10,686x = 15,971 × 15,971
  4. Step 4: Simplify right side
    10,686x = 255,072,841
  5. Step 5: Solve for x
    x = 255,072,841/10,686
  6. Step 6: Final answer
    x = 23,869.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.