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Finding the Third Proportional to 5,563.50 and 7,509.75

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Solution

The third proportional to 5,563.50 and 7,509.75 is: 10,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.50 : 7,509.75 = 7,509.75 : x
  2. Step 2: Convert to fraction form
    5,563.50/7,509.75 = 7,509.75/x
  3. Step 3: Cross multiply
    5,563.50x = 7,509.75 × 7,509.75
  4. Step 4: Simplify right side
    5,563.50x = 56,396,345.06
  5. Step 5: Solve for x
    x = 56,396,345.06/5,563.50
  6. Step 6: Final answer
    x = 10,136.85

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.