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Finding the Third Proportional to 8,619 and 13,502.25

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Solution

The third proportional to 8,619 and 13,502.25 is: 21,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,619 : 13,502.25 = 13,502.25 : x
  2. Step 2: Convert to fraction form
    8,619/13,502.25 = 13,502.25/x
  3. Step 3: Cross multiply
    8,619x = 13,502.25 × 13,502.25
  4. Step 4: Simplify right side
    8,619x = 182,310,755.06
  5. Step 5: Solve for x
    x = 182,310,755.06/8,619
  6. Step 6: Final answer
    x = 21,152.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.