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Finding the Third Proportional to 13,614.75 and 34,924.50

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Solution

The third proportional to 13,614.75 and 34,924.50 is: 89,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.75 : 34,924.50 = 34,924.50 : x
  2. Step 2: Convert to fraction form
    13,614.75/34,924.50 = 34,924.50/x
  3. Step 3: Cross multiply
    13,614.75x = 34,924.50 × 34,924.50
  4. Step 4: Simplify right side
    13,614.75x = 1,219,720,700.25
  5. Step 5: Solve for x
    x = 1,219,720,700.25/13,614.75
  6. Step 6: Final answer
    x = 89,588.18

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These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.