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Finding the Third Proportional to 3,370.68 and 5,384.92

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Solution

The third proportional to 3,370.68 and 5,384.92 is: 8,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.68 : 5,384.92 = 5,384.92 : x
  2. Step 2: Convert to fraction form
    3,370.68/5,384.92 = 5,384.92/x
  3. Step 3: Cross multiply
    3,370.68x = 5,384.92 × 5,384.92
  4. Step 4: Simplify right side
    3,370.68x = 28,997,341.53
  5. Step 5: Solve for x
    x = 28,997,341.53/3,370.68
  6. Step 6: Final answer
    x = 8,602.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.