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Finding the Third Proportional to 6,296.25 and 9,261.75

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Solution

The third proportional to 6,296.25 and 9,261.75 is: 13,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.25 : 9,261.75 = 9,261.75 : x
  2. Step 2: Convert to fraction form
    6,296.25/9,261.75 = 9,261.75/x
  3. Step 3: Cross multiply
    6,296.25x = 9,261.75 × 9,261.75
  4. Step 4: Simplify right side
    6,296.25x = 85,780,013.06
  5. Step 5: Solve for x
    x = 85,780,013.06/6,296.25
  6. Step 6: Final answer
    x = 13,623.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.