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Finding the Third Proportional to 5,737.50 and 9,107.44

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Solution

The third proportional to 5,737.50 and 9,107.44 is: 14,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.50 : 9,107.44 = 9,107.44 : x
  2. Step 2: Convert to fraction form
    5,737.50/9,107.44 = 9,107.44/x
  3. Step 3: Cross multiply
    5,737.50x = 9,107.44 × 9,107.44
  4. Step 4: Simplify right side
    5,737.50x = 82,945,417.82
  5. Step 5: Solve for x
    x = 82,945,417.82/5,737.50
  6. Step 6: Final answer
    x = 14,456.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.