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Finding the Third Proportional to 30,207.94 and 61,008.19

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Solution

The third proportional to 30,207.94 and 61,008.19 is: 123,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.94 : 61,008.19 = 61,008.19 : x
  2. Step 2: Convert to fraction form
    30,207.94/61,008.19 = 61,008.19/x
  3. Step 3: Cross multiply
    30,207.94x = 61,008.19 × 61,008.19
  4. Step 4: Simplify right side
    30,207.94x = 3,721,998,942.04
  5. Step 5: Solve for x
    x = 3,721,998,942.04/30,207.94
  6. Step 6: Final answer
    x = 123,212.61

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.