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Finding the Third Proportional to 46,920 and 100,008

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Solution

The third proportional to 46,920 and 100,008 is: 213,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,920 : 100,008 = 100,008 : x
  2. Step 2: Convert to fraction form
    46,920/100,008 = 100,008/x
  3. Step 3: Cross multiply
    46,920x = 100,008 × 100,008
  4. Step 4: Simplify right side
    46,920x = 10,001,600,064
  5. Step 5: Solve for x
    x = 10,001,600,064/46,920
  6. Step 6: Final answer
    x = 213,162.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.