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Finding the Third Proportional to 10,523.75 and 23,021.75

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Solution

The third proportional to 10,523.75 and 23,021.75 is: 50,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.75 : 23,021.75 = 23,021.75 : x
  2. Step 2: Convert to fraction form
    10,523.75/23,021.75 = 23,021.75/x
  3. Step 3: Cross multiply
    10,523.75x = 23,021.75 × 23,021.75
  4. Step 4: Simplify right side
    10,523.75x = 530,000,973.06
  5. Step 5: Solve for x
    x = 530,000,973.06/10,523.75
  6. Step 6: Final answer
    x = 50,362.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.