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Finding the Third Proportional to 6,323.06 and 7,214.06

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Solution

The third proportional to 6,323.06 and 7,214.06 is: 8,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.06 : 7,214.06 = 7,214.06 : x
  2. Step 2: Convert to fraction form
    6,323.06/7,214.06 = 7,214.06/x
  3. Step 3: Cross multiply
    6,323.06x = 7,214.06 × 7,214.06
  4. Step 4: Simplify right side
    6,323.06x = 52,042,697.75
  5. Step 5: Solve for x
    x = 52,042,697.75/6,323.06
  6. Step 6: Final answer
    x = 8,230.62

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.