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Finding the Third Proportional to 17,029 and 25,833

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Solution

The third proportional to 17,029 and 25,833 is: 39,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,029 : 25,833 = 25,833 : x
  2. Step 2: Convert to fraction form
    17,029/25,833 = 25,833/x
  3. Step 3: Cross multiply
    17,029x = 25,833 × 25,833
  4. Step 4: Simplify right side
    17,029x = 667,343,889
  5. Step 5: Solve for x
    x = 667,343,889/17,029
  6. Step 6: Final answer
    x = 39,188.67

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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.