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Finding the Third Proportional to 6,343.31 and 8,510.06

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Solution

The third proportional to 6,343.31 and 8,510.06 is: 11,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.31 : 8,510.06 = 8,510.06 : x
  2. Step 2: Convert to fraction form
    6,343.31/8,510.06 = 8,510.06/x
  3. Step 3: Cross multiply
    6,343.31x = 8,510.06 × 8,510.06
  4. Step 4: Simplify right side
    6,343.31x = 72,421,163.75
  5. Step 5: Solve for x
    x = 72,421,163.75/6,343.31
  6. Step 6: Final answer
    x = 11,416.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.