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Finding the Third Proportional to 3,416.06 and 5,358.94

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Solution

The third proportional to 3,416.06 and 5,358.94 is: 8,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.06 : 5,358.94 = 5,358.94 : x
  2. Step 2: Convert to fraction form
    3,416.06/5,358.94 = 5,358.94/x
  3. Step 3: Cross multiply
    3,416.06x = 5,358.94 × 5,358.94
  4. Step 4: Simplify right side
    3,416.06x = 28,718,211.13
  5. Step 5: Solve for x
    x = 28,718,211.13/3,416.06
  6. Step 6: Final answer
    x = 8,406.82

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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.