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Finding the Third Proportional to 17,964 and 38,796

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Solution

The third proportional to 17,964 and 38,796 is: 83,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964 : 38,796 = 38,796 : x
  2. Step 2: Convert to fraction form
    17,964/38,796 = 38,796/x
  3. Step 3: Cross multiply
    17,964x = 38,796 × 38,796
  4. Step 4: Simplify right side
    17,964x = 1,505,129,616
  5. Step 5: Solve for x
    x = 1,505,129,616/17,964
  6. Step 6: Final answer
    x = 83,785.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.