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Finding the Third Proportional to 10,023.75 and 17,997.19

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Solution

The third proportional to 10,023.75 and 17,997.19 is: 32,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.75 : 17,997.19 = 17,997.19 : x
  2. Step 2: Convert to fraction form
    10,023.75/17,997.19 = 17,997.19/x
  3. Step 3: Cross multiply
    10,023.75x = 17,997.19 × 17,997.19
  4. Step 4: Simplify right side
    10,023.75x = 323,898,757.91
  5. Step 5: Solve for x
    x = 323,898,757.91/10,023.75
  6. Step 6: Final answer
    x = 32,313.13

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.