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Finding the Third Proportional to 11,712 and 19,692

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Solution

The third proportional to 11,712 and 19,692 is: 33,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712 : 19,692 = 19,692 : x
  2. Step 2: Convert to fraction form
    11,712/19,692 = 19,692/x
  3. Step 3: Cross multiply
    11,712x = 19,692 × 19,692
  4. Step 4: Simplify right side
    11,712x = 387,774,864
  5. Step 5: Solve for x
    x = 387,774,864/11,712
  6. Step 6: Final answer
    x = 33,109.19

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.