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Finding the Third Proportional to 10,588.97 and 23,022.66

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Solution

The third proportional to 10,588.97 and 23,022.66 is: 50,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.97 : 23,022.66 = 23,022.66 : x
  2. Step 2: Convert to fraction form
    10,588.97/23,022.66 = 23,022.66/x
  3. Step 3: Cross multiply
    10,588.97x = 23,022.66 × 23,022.66
  4. Step 4: Simplify right side
    10,588.97x = 530,042,700.81
  5. Step 5: Solve for x
    x = 530,042,700.81/10,588.97
  6. Step 6: Final answer
    x = 50,056.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.