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Finding the Third Proportional to 13,453.50 and 29,366.06

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Solution

The third proportional to 13,453.50 and 29,366.06 is: 64,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.50 : 29,366.06 = 29,366.06 : x
  2. Step 2: Convert to fraction form
    13,453.50/29,366.06 = 29,366.06/x
  3. Step 3: Cross multiply
    13,453.50x = 29,366.06 × 29,366.06
  4. Step 4: Simplify right side
    13,453.50x = 862,365,626.75
  5. Step 5: Solve for x
    x = 862,365,626.75/13,453.50
  6. Step 6: Final answer
    x = 64,099.72

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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.