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Finding the Third Proportional to 2,454.68 and 4,544.86

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Solution

The third proportional to 2,454.68 and 4,544.86 is: 8,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.68 : 4,544.86 = 4,544.86 : x
  2. Step 2: Convert to fraction form
    2,454.68/4,544.86 = 4,544.86/x
  3. Step 3: Cross multiply
    2,454.68x = 4,544.86 × 4,544.86
  4. Step 4: Simplify right side
    2,454.68x = 20,655,746.74
  5. Step 5: Solve for x
    x = 20,655,746.74/2,454.68
  6. Step 6: Final answer
    x = 8,414.84

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.