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Finding the Third Proportional to 4,632.19 and 8,398.69

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Solution

The third proportional to 4,632.19 and 8,398.69 is: 15,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.19 : 8,398.69 = 8,398.69 : x
  2. Step 2: Convert to fraction form
    4,632.19/8,398.69 = 8,398.69/x
  3. Step 3: Cross multiply
    4,632.19x = 8,398.69 × 8,398.69
  4. Step 4: Simplify right side
    4,632.19x = 70,537,951.72
  5. Step 5: Solve for x
    x = 70,537,951.72/4,632.19
  6. Step 6: Final answer
    x = 15,227.78

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.