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Finding the Third Proportional to 21,520.69 and 29,668.78

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Solution

The third proportional to 21,520.69 and 29,668.78 is: 40,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520.69 : 29,668.78 = 29,668.78 : x
  2. Step 2: Convert to fraction form
    21,520.69/29,668.78 = 29,668.78/x
  3. Step 3: Cross multiply
    21,520.69x = 29,668.78 × 29,668.78
  4. Step 4: Simplify right side
    21,520.69x = 880,236,580.86
  5. Step 5: Solve for x
    x = 880,236,580.86/21,520.69
  6. Step 6: Final answer
    x = 40,901.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.