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Finding the Third Proportional to 30,466.13 and 34,764.19

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Solution

The third proportional to 30,466.13 and 34,764.19 is: 39,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.13 : 34,764.19 = 34,764.19 : x
  2. Step 2: Convert to fraction form
    30,466.13/34,764.19 = 34,764.19/x
  3. Step 3: Cross multiply
    30,466.13x = 34,764.19 × 34,764.19
  4. Step 4: Simplify right side
    30,466.13x = 1,208,548,732.54
  5. Step 5: Solve for x
    x = 1,208,548,732.54/30,466.13
  6. Step 6: Final answer
    x = 39,668.61

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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.