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Finding the Third Proportional to 13,435.24 and 29,330.86

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Solution

The third proportional to 13,435.24 and 29,330.86 is: 64,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.24 : 29,330.86 = 29,330.86 : x
  2. Step 2: Convert to fraction form
    13,435.24/29,330.86 = 29,330.86/x
  3. Step 3: Cross multiply
    13,435.24x = 29,330.86 × 29,330.86
  4. Step 4: Simplify right side
    13,435.24x = 860,299,311.68
  5. Step 5: Solve for x
    x = 860,299,311.68/13,435.24
  6. Step 6: Final answer
    x = 64,033.03

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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.