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Finding the Third Proportional to 19,107 and 25,805.25

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Solution

The third proportional to 19,107 and 25,805.25 is: 34,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,107 : 25,805.25 = 25,805.25 : x
  2. Step 2: Convert to fraction form
    19,107/25,805.25 = 25,805.25/x
  3. Step 3: Cross multiply
    19,107x = 25,805.25 × 25,805.25
  4. Step 4: Simplify right side
    19,107x = 665,910,927.56
  5. Step 5: Solve for x
    x = 665,910,927.56/19,107
  6. Step 6: Final answer
    x = 34,851.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.