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Finding the Third Proportional to 9,712 and 13,866

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Solution

The third proportional to 9,712 and 13,866 is: 19,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 13,866 = 13,866 : x
  2. Step 2: Convert to fraction form
    9,712/13,866 = 13,866/x
  3. Step 3: Cross multiply
    9,712x = 13,866 × 13,866
  4. Step 4: Simplify right side
    9,712x = 192,265,956
  5. Step 5: Solve for x
    x = 192,265,956/9,712
  6. Step 6: Final answer
    x = 19,796.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.