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Finding the Third Proportional to 24,005.72 and 34,581.09

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Solution

The third proportional to 24,005.72 and 34,581.09 is: 49,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.72 : 34,581.09 = 34,581.09 : x
  2. Step 2: Convert to fraction form
    24,005.72/34,581.09 = 34,581.09/x
  3. Step 3: Cross multiply
    24,005.72x = 34,581.09 × 34,581.09
  4. Step 4: Simplify right side
    24,005.72x = 1,195,852,044.95
  5. Step 5: Solve for x
    x = 1,195,852,044.95/24,005.72
  6. Step 6: Final answer
    x = 49,815.30

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.