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Finding the Third Proportional to 17,984 and 26,904

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Solution

The third proportional to 17,984 and 26,904 is: 40,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984 : 26,904 = 26,904 : x
  2. Step 2: Convert to fraction form
    17,984/26,904 = 26,904/x
  3. Step 3: Cross multiply
    17,984x = 26,904 × 26,904
  4. Step 4: Simplify right side
    17,984x = 723,825,216
  5. Step 5: Solve for x
    x = 723,825,216/17,984
  6. Step 6: Final answer
    x = 40,248.29

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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.