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Finding the Third Proportional to 3,411.84 and 7,458.19

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Solution

The third proportional to 3,411.84 and 7,458.19 is: 16,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.84 : 7,458.19 = 7,458.19 : x
  2. Step 2: Convert to fraction form
    3,411.84/7,458.19 = 7,458.19/x
  3. Step 3: Cross multiply
    3,411.84x = 7,458.19 × 7,458.19
  4. Step 4: Simplify right side
    3,411.84x = 55,624,560.79
  5. Step 5: Solve for x
    x = 55,624,560.79/3,411.84
  6. Step 6: Final answer
    x = 16,303.37

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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.