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Finding the Third Proportional to 8,464.50 and 9,699.75

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Solution

The third proportional to 8,464.50 and 9,699.75 is: 11,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.50 : 9,699.75 = 9,699.75 : x
  2. Step 2: Convert to fraction form
    8,464.50/9,699.75 = 9,699.75/x
  3. Step 3: Cross multiply
    8,464.50x = 9,699.75 × 9,699.75
  4. Step 4: Simplify right side
    8,464.50x = 94,085,150.06
  5. Step 5: Solve for x
    x = 94,085,150.06/8,464.50
  6. Step 6: Final answer
    x = 11,115.26

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.