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Finding the Third Proportional to 3,237.19 and 4,565.81

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Solution

The third proportional to 3,237.19 and 4,565.81 is: 6,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.19 : 4,565.81 = 4,565.81 : x
  2. Step 2: Convert to fraction form
    3,237.19/4,565.81 = 4,565.81/x
  3. Step 3: Cross multiply
    3,237.19x = 4,565.81 × 4,565.81
  4. Step 4: Simplify right side
    3,237.19x = 20,846,643.79
  5. Step 5: Solve for x
    x = 20,846,643.79/3,237.19
  6. Step 6: Final answer
    x = 6,439.74

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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.