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Finding the Third Proportional to 3,407.91 and 5,354.86

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Solution

The third proportional to 3,407.91 and 5,354.86 is: 8,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.91 : 5,354.86 = 5,354.86 : x
  2. Step 2: Convert to fraction form
    3,407.91/5,354.86 = 5,354.86/x
  3. Step 3: Cross multiply
    3,407.91x = 5,354.86 × 5,354.86
  4. Step 4: Simplify right side
    3,407.91x = 28,674,518.93
  5. Step 5: Solve for x
    x = 28,674,518.93/3,407.91
  6. Step 6: Final answer
    x = 8,414.12

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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.