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Finding the Third Proportional to 3,403.27 and 7,535.53

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Solution

The third proportional to 3,403.27 and 7,535.53 is: 16,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.27 : 7,535.53 = 7,535.53 : x
  2. Step 2: Convert to fraction form
    3,403.27/7,535.53 = 7,535.53/x
  3. Step 3: Cross multiply
    3,403.27x = 7,535.53 × 7,535.53
  4. Step 4: Simplify right side
    3,403.27x = 56,784,231.22
  5. Step 5: Solve for x
    x = 56,784,231.22/3,403.27
  6. Step 6: Final answer
    x = 16,685.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.