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Finding the Third Proportional to 8,971 and 9,781

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Solution

The third proportional to 8,971 and 9,781 is: 10,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971 : 9,781 = 9,781 : x
  2. Step 2: Convert to fraction form
    8,971/9,781 = 9,781/x
  3. Step 3: Cross multiply
    8,971x = 9,781 × 9,781
  4. Step 4: Simplify right side
    8,971x = 95,667,961
  5. Step 5: Solve for x
    x = 95,667,961/8,971
  6. Step 6: Final answer
    x = 10,664.14

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.