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Finding the Third Proportional to 7,616.53 and 10,185.75

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Solution

The third proportional to 7,616.53 and 10,185.75 is: 13,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.53 : 10,185.75 = 10,185.75 : x
  2. Step 2: Convert to fraction form
    7,616.53/10,185.75 = 10,185.75/x
  3. Step 3: Cross multiply
    7,616.53x = 10,185.75 × 10,185.75
  4. Step 4: Simplify right side
    7,616.53x = 103,749,503.06
  5. Step 5: Solve for x
    x = 103,749,503.06/7,616.53
  6. Step 6: Final answer
    x = 13,621.62

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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.