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Finding the Third Proportional to 8,498.25 and 18,365.06

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Solution

The third proportional to 8,498.25 and 18,365.06 is: 39,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.25 : 18,365.06 = 18,365.06 : x
  2. Step 2: Convert to fraction form
    8,498.25/18,365.06 = 18,365.06/x
  3. Step 3: Cross multiply
    8,498.25x = 18,365.06 × 18,365.06
  4. Step 4: Simplify right side
    8,498.25x = 337,275,520.63
  5. Step 5: Solve for x
    x = 337,275,520.63/8,498.25
  6. Step 6: Final answer
    x = 39,687.64

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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.