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Finding the Third Proportional to 3,474.04 and 7,596.81

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Solution

The third proportional to 3,474.04 and 7,596.81 is: 16,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.04 : 7,596.81 = 7,596.81 : x
  2. Step 2: Convert to fraction form
    3,474.04/7,596.81 = 7,596.81/x
  3. Step 3: Cross multiply
    3,474.04x = 7,596.81 × 7,596.81
  4. Step 4: Simplify right side
    3,474.04x = 57,711,500.81
  5. Step 5: Solve for x
    x = 57,711,500.81/3,474.04
  6. Step 6: Final answer
    x = 16,612.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.