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Finding the Third Proportional to 6,501.75 and 7,473.75

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Solution

The third proportional to 6,501.75 and 7,473.75 is: 8,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.75 : 7,473.75 = 7,473.75 : x
  2. Step 2: Convert to fraction form
    6,501.75/7,473.75 = 7,473.75/x
  3. Step 3: Cross multiply
    6,501.75x = 7,473.75 × 7,473.75
  4. Step 4: Simplify right side
    6,501.75x = 55,856,939.06
  5. Step 5: Solve for x
    x = 55,856,939.06/6,501.75
  6. Step 6: Final answer
    x = 8,591.06

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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.