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Finding the Third Proportional to 10,605.94 and 23,057.16

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Solution

The third proportional to 10,605.94 and 23,057.16 is: 50,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.94 : 23,057.16 = 23,057.16 : x
  2. Step 2: Convert to fraction form
    10,605.94/23,057.16 = 23,057.16/x
  3. Step 3: Cross multiply
    10,605.94x = 23,057.16 × 23,057.16
  4. Step 4: Simplify right side
    10,605.94x = 531,632,454.34
  5. Step 5: Solve for x
    x = 531,632,454.34/10,605.94
  6. Step 6: Final answer
    x = 50,125.93

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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.