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Finding the Third Proportional to 7,882 and 11,768

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Solution

The third proportional to 7,882 and 11,768 is: 17,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 11,768 = 11,768 : x
  2. Step 2: Convert to fraction form
    7,882/11,768 = 11,768/x
  3. Step 3: Cross multiply
    7,882x = 11,768 × 11,768
  4. Step 4: Simplify right side
    7,882x = 138,485,824
  5. Step 5: Solve for x
    x = 138,485,824/7,882
  6. Step 6: Final answer
    x = 17,569.88

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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.