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Finding the Third Proportional to 3,298.22 and 6,685.03

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Solution

The third proportional to 3,298.22 and 6,685.03 is: 13,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.22 : 6,685.03 = 6,685.03 : x
  2. Step 2: Convert to fraction form
    3,298.22/6,685.03 = 6,685.03/x
  3. Step 3: Cross multiply
    3,298.22x = 6,685.03 × 6,685.03
  4. Step 4: Simplify right side
    3,298.22x = 44,689,642.81
  5. Step 5: Solve for x
    x = 44,689,642.81/3,298.22
  6. Step 6: Final answer
    x = 13,549.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.