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Finding the Third Proportional to 4,565.81 and 6,187.22

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Solution

The third proportional to 4,565.81 and 6,187.22 is: 8,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.81 : 6,187.22 = 6,187.22 : x
  2. Step 2: Convert to fraction form
    4,565.81/6,187.22 = 6,187.22/x
  3. Step 3: Cross multiply
    4,565.81x = 6,187.22 × 6,187.22
  4. Step 4: Simplify right side
    4,565.81x = 38,281,675.86
  5. Step 5: Solve for x
    x = 38,281,675.86/4,565.81
  6. Step 6: Final answer
    x = 8,384.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.