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Finding the Third Proportional to 2,408.17 and 4,565.74

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Solution

The third proportional to 2,408.17 and 4,565.74 is: 8,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.17 : 4,565.74 = 4,565.74 : x
  2. Step 2: Convert to fraction form
    2,408.17/4,565.74 = 4,565.74/x
  3. Step 3: Cross multiply
    2,408.17x = 4,565.74 × 4,565.74
  4. Step 4: Simplify right side
    2,408.17x = 20,846,001.72
  5. Step 5: Solve for x
    x = 20,846,001.72/2,408.17
  6. Step 6: Final answer
    x = 8,656.37

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.