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Finding the Third Proportional to 6,500.06 and 9,288.66

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Solution

The third proportional to 6,500.06 and 9,288.66 is: 13,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.06 : 9,288.66 = 9,288.66 : x
  2. Step 2: Convert to fraction form
    6,500.06/9,288.66 = 9,288.66/x
  3. Step 3: Cross multiply
    6,500.06x = 9,288.66 × 9,288.66
  4. Step 4: Simplify right side
    6,500.06x = 86,279,134.93
  5. Step 5: Solve for x
    x = 86,279,134.93/6,500.06
  6. Step 6: Final answer
    x = 13,273.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.