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Finding the Third Proportional to 8,498.36 and 13,131.49

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Solution

The third proportional to 8,498.36 and 13,131.49 is: 20,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.36 : 13,131.49 = 13,131.49 : x
  2. Step 2: Convert to fraction form
    8,498.36/13,131.49 = 13,131.49/x
  3. Step 3: Cross multiply
    8,498.36x = 13,131.49 × 13,131.49
  4. Step 4: Simplify right side
    8,498.36x = 172,436,087.07
  5. Step 5: Solve for x
    x = 172,436,087.07/8,498.36
  6. Step 6: Final answer
    x = 20,290.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.