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Finding the Third Proportional to 13,645.97 and 29,205.56

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Solution

The third proportional to 13,645.97 and 29,205.56 is: 62,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.97 : 29,205.56 = 29,205.56 : x
  2. Step 2: Convert to fraction form
    13,645.97/29,205.56 = 29,205.56/x
  3. Step 3: Cross multiply
    13,645.97x = 29,205.56 × 29,205.56
  4. Step 4: Simplify right side
    13,645.97x = 852,964,880.94
  5. Step 5: Solve for x
    x = 852,964,880.94/13,645.97
  6. Step 6: Final answer
    x = 62,506.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.