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Finding the Third Proportional to 3,410.07 and 5,341.49

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Solution

The third proportional to 3,410.07 and 5,341.49 is: 8,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.07 : 5,341.49 = 5,341.49 : x
  2. Step 2: Convert to fraction form
    3,410.07/5,341.49 = 5,341.49/x
  3. Step 3: Cross multiply
    3,410.07x = 5,341.49 × 5,341.49
  4. Step 4: Simplify right side
    3,410.07x = 28,531,528.36
  5. Step 5: Solve for x
    x = 28,531,528.36/3,410.07
  6. Step 6: Final answer
    x = 8,366.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.