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Finding the Third Proportional to 8,642 and 18,904

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Solution

The third proportional to 8,642 and 18,904 is: 41,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642 : 18,904 = 18,904 : x
  2. Step 2: Convert to fraction form
    8,642/18,904 = 18,904/x
  3. Step 3: Cross multiply
    8,642x = 18,904 × 18,904
  4. Step 4: Simplify right side
    8,642x = 357,361,216
  5. Step 5: Solve for x
    x = 357,361,216/8,642
  6. Step 6: Final answer
    x = 41,351.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.