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Finding the Third Proportional to 7,840 and 11,759

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Solution

The third proportional to 7,840 and 11,759 is: 17,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840 : 11,759 = 11,759 : x
  2. Step 2: Convert to fraction form
    7,840/11,759 = 11,759/x
  3. Step 3: Cross multiply
    7,840x = 11,759 × 11,759
  4. Step 4: Simplify right side
    7,840x = 138,274,081
  5. Step 5: Solve for x
    x = 138,274,081/7,840
  6. Step 6: Final answer
    x = 17,637.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.