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Finding the Third Proportional to 10,724.06 and 23,042.81

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Solution

The third proportional to 10,724.06 and 23,042.81 is: 49,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.06 : 23,042.81 = 23,042.81 : x
  2. Step 2: Convert to fraction form
    10,724.06/23,042.81 = 23,042.81/x
  3. Step 3: Cross multiply
    10,724.06x = 23,042.81 × 23,042.81
  4. Step 4: Simplify right side
    10,724.06x = 530,971,207.91
  5. Step 5: Solve for x
    x = 530,971,207.91/10,724.06
  6. Step 6: Final answer
    x = 49,512.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.