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Finding the Third Proportional to 8,498.81 and 13,192.31

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Solution

The third proportional to 8,498.81 and 13,192.31 is: 20,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.81 : 13,192.31 = 13,192.31 : x
  2. Step 2: Convert to fraction form
    8,498.81/13,192.31 = 13,192.31/x
  3. Step 3: Cross multiply
    8,498.81x = 13,192.31 × 13,192.31
  4. Step 4: Simplify right side
    8,498.81x = 174,037,109.10
  5. Step 5: Solve for x
    x = 174,037,109.10/8,498.81
  6. Step 6: Final answer
    x = 20,477.81

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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.