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Finding the Third Proportional to 10,589.06 and 23,022.98

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Solution

The third proportional to 10,589.06 and 23,022.98 is: 50,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.06 : 23,022.98 = 23,022.98 : x
  2. Step 2: Convert to fraction form
    10,589.06/23,022.98 = 23,022.98/x
  3. Step 3: Cross multiply
    10,589.06x = 23,022.98 × 23,022.98
  4. Step 4: Simplify right side
    10,589.06x = 530,057,809.53
  5. Step 5: Solve for x
    x = 530,057,809.53/10,589.06
  6. Step 6: Final answer
    x = 50,057.10

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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.