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Finding the Third Proportional to 6,305.06 and 8,424.56

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Solution

The third proportional to 6,305.06 and 8,424.56 is: 11,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.06 : 8,424.56 = 8,424.56 : x
  2. Step 2: Convert to fraction form
    6,305.06/8,424.56 = 8,424.56/x
  3. Step 3: Cross multiply
    6,305.06x = 8,424.56 × 8,424.56
  4. Step 4: Simplify right side
    6,305.06x = 70,973,253.32
  5. Step 5: Solve for x
    x = 70,973,253.32/6,305.06
  6. Step 6: Final answer
    x = 11,256.55

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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.