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Finding the Third Proportional to 3,212.16 and 4,544.86

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Solution

The third proportional to 3,212.16 and 4,544.86 is: 6,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.16 : 4,544.86 = 4,544.86 : x
  2. Step 2: Convert to fraction form
    3,212.16/4,544.86 = 4,544.86/x
  3. Step 3: Cross multiply
    3,212.16x = 4,544.86 × 4,544.86
  4. Step 4: Simplify right side
    3,212.16x = 20,655,746.74
  5. Step 5: Solve for x
    x = 20,655,746.74/3,212.16
  6. Step 6: Final answer
    x = 6,430.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.