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Finding the Third Proportional to 29,296.69 and 33,306.19

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Solution

The third proportional to 29,296.69 and 33,306.19 is: 37,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,296.69 : 33,306.19 = 33,306.19 : x
  2. Step 2: Convert to fraction form
    29,296.69/33,306.19 = 33,306.19/x
  3. Step 3: Cross multiply
    29,296.69x = 33,306.19 × 33,306.19
  4. Step 4: Simplify right side
    29,296.69x = 1,109,302,125.79
  5. Step 5: Solve for x
    x = 1,109,302,125.79/29,296.69
  6. Step 6: Final answer
    x = 37,864.42

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.