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Finding the Third Proportional to 7,603.97 and 10,171.41

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Solution

The third proportional to 7,603.97 and 10,171.41 is: 13,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.97 : 10,171.41 = 10,171.41 : x
  2. Step 2: Convert to fraction form
    7,603.97/10,171.41 = 10,171.41/x
  3. Step 3: Cross multiply
    7,603.97x = 10,171.41 × 10,171.41
  4. Step 4: Simplify right side
    7,603.97x = 103,457,505.10
  5. Step 5: Solve for x
    x = 103,457,505.10/7,603.97
  6. Step 6: Final answer
    x = 13,605.72

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.