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Finding the Third Proportional to 13,588.25 and 29,667.25

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Solution

The third proportional to 13,588.25 and 29,667.25 is: 64,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.25 : 29,667.25 = 29,667.25 : x
  2. Step 2: Convert to fraction form
    13,588.25/29,667.25 = 29,667.25/x
  3. Step 3: Cross multiply
    13,588.25x = 29,667.25 × 29,667.25
  4. Step 4: Simplify right side
    13,588.25x = 880,145,722.56
  5. Step 5: Solve for x
    x = 880,145,722.56/13,588.25
  6. Step 6: Final answer
    x = 64,772.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.