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Finding the Third Proportional to 17,349 and 26,346.75

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Solution

The third proportional to 17,349 and 26,346.75 is: 40,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,349 : 26,346.75 = 26,346.75 : x
  2. Step 2: Convert to fraction form
    17,349/26,346.75 = 26,346.75/x
  3. Step 3: Cross multiply
    17,349x = 26,346.75 × 26,346.75
  4. Step 4: Simplify right side
    17,349x = 694,151,235.56
  5. Step 5: Solve for x
    x = 694,151,235.56/17,349
  6. Step 6: Final answer
    x = 40,011.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.