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Finding the Third Proportional to 3,407.06 and 8,253.56

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Solution

The third proportional to 3,407.06 and 8,253.56 is: 19,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.06 : 8,253.56 = 8,253.56 : x
  2. Step 2: Convert to fraction form
    3,407.06/8,253.56 = 8,253.56/x
  3. Step 3: Cross multiply
    3,407.06x = 8,253.56 × 8,253.56
  4. Step 4: Simplify right side
    3,407.06x = 68,121,293.94
  5. Step 5: Solve for x
    x = 68,121,293.94/3,407.06
  6. Step 6: Final answer
    x = 19,994.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.