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Finding the Third Proportional to 7,665.75 and 8,880.75

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Solution

The third proportional to 7,665.75 and 8,880.75 is: 10,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.75 : 8,880.75 = 8,880.75 : x
  2. Step 2: Convert to fraction form
    7,665.75/8,880.75 = 8,880.75/x
  3. Step 3: Cross multiply
    7,665.75x = 8,880.75 × 8,880.75
  4. Step 4: Simplify right side
    7,665.75x = 78,867,720.56
  5. Step 5: Solve for x
    x = 78,867,720.56/7,665.75
  6. Step 6: Final answer
    x = 10,288.32

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.