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Finding the Third Proportional to 3,641.63 and 7,969.22

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Solution

The third proportional to 3,641.63 and 7,969.22 is: 17,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.63 : 7,969.22 = 7,969.22 : x
  2. Step 2: Convert to fraction form
    3,641.63/7,969.22 = 7,969.22/x
  3. Step 3: Cross multiply
    3,641.63x = 7,969.22 × 7,969.22
  4. Step 4: Simplify right side
    3,641.63x = 63,508,447.49
  5. Step 5: Solve for x
    x = 63,508,447.49/3,641.63
  6. Step 6: Final answer
    x = 17,439.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.