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Finding the Third Proportional to 6,149.25 and 9,464.25

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Solution

The third proportional to 6,149.25 and 9,464.25 is: 14,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.25 : 9,464.25 = 9,464.25 : x
  2. Step 2: Convert to fraction form
    6,149.25/9,464.25 = 9,464.25/x
  3. Step 3: Cross multiply
    6,149.25x = 9,464.25 × 9,464.25
  4. Step 4: Simplify right side
    6,149.25x = 89,572,028.06
  5. Step 5: Solve for x
    x = 89,572,028.06/6,149.25
  6. Step 6: Final answer
    x = 14,566.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.