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Finding the Third Proportional to 6,549.75 and 9,259.88

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Solution

The third proportional to 6,549.75 and 9,259.88 is: 13,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.75 : 9,259.88 = 9,259.88 : x
  2. Step 2: Convert to fraction form
    6,549.75/9,259.88 = 9,259.88/x
  3. Step 3: Cross multiply
    6,549.75x = 9,259.88 × 9,259.88
  4. Step 4: Simplify right side
    6,549.75x = 85,745,285.02
  5. Step 5: Solve for x
    x = 85,745,285.02/6,549.75
  6. Step 6: Final answer
    x = 13,091.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.