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Finding the Third Proportional to 4,005.70 and 8,603.72

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Solution

The third proportional to 4,005.70 and 8,603.72 is: 18,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.70 : 8,603.72 = 8,603.72 : x
  2. Step 2: Convert to fraction form
    4,005.70/8,603.72 = 8,603.72/x
  3. Step 3: Cross multiply
    4,005.70x = 8,603.72 × 8,603.72
  4. Step 4: Simplify right side
    4,005.70x = 74,023,976.33
  5. Step 5: Solve for x
    x = 74,023,976.33/4,005.70
  6. Step 6: Final answer
    x = 18,479.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.