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Finding the Third Proportional to 19,609 and 30,001

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Solution

The third proportional to 19,609 and 30,001 is: 45,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609 : 30,001 = 30,001 : x
  2. Step 2: Convert to fraction form
    19,609/30,001 = 30,001/x
  3. Step 3: Cross multiply
    19,609x = 30,001 × 30,001
  4. Step 4: Simplify right side
    19,609x = 900,060,001
  5. Step 5: Solve for x
    x = 900,060,001/19,609
  6. Step 6: Final answer
    x = 45,900.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.