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Finding the Third Proportional to 34,053.75 and 44,295.19

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Solution

The third proportional to 34,053.75 and 44,295.19 is: 57,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053.75 : 44,295.19 = 44,295.19 : x
  2. Step 2: Convert to fraction form
    34,053.75/44,295.19 = 44,295.19/x
  3. Step 3: Cross multiply
    34,053.75x = 44,295.19 × 44,295.19
  4. Step 4: Simplify right side
    34,053.75x = 1,962,063,635.66
  5. Step 5: Solve for x
    x = 1,962,063,635.66/34,053.75
  6. Step 6: Final answer
    x = 57,616.67

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.