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Finding the Third Proportional to 13,404.25 and 17,626.50

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Solution

The third proportional to 13,404.25 and 17,626.50 is: 23,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.25 : 17,626.50 = 17,626.50 : x
  2. Step 2: Convert to fraction form
    13,404.25/17,626.50 = 17,626.50/x
  3. Step 3: Cross multiply
    13,404.25x = 17,626.50 × 17,626.50
  4. Step 4: Simplify right side
    13,404.25x = 310,693,502.25
  5. Step 5: Solve for x
    x = 310,693,502.25/13,404.25
  6. Step 6: Final answer
    x = 23,178.73

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.