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Finding the Third Proportional to 8,813.81 and 13,640.06

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Solution

The third proportional to 8,813.81 and 13,640.06 is: 21,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.81 : 13,640.06 = 13,640.06 : x
  2. Step 2: Convert to fraction form
    8,813.81/13,640.06 = 13,640.06/x
  3. Step 3: Cross multiply
    8,813.81x = 13,640.06 × 13,640.06
  4. Step 4: Simplify right side
    8,813.81x = 186,051,305.00
  5. Step 5: Solve for x
    x = 186,051,305.00/8,813.81
  6. Step 6: Final answer
    x = 21,109.06

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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.