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Finding the Third Proportional to 19,703 and 30,011

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Solution

The third proportional to 19,703 and 30,011 is: 45,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703 : 30,011 = 30,011 : x
  2. Step 2: Convert to fraction form
    19,703/30,011 = 30,011/x
  3. Step 3: Cross multiply
    19,703x = 30,011 × 30,011
  4. Step 4: Simplify right side
    19,703x = 900,660,121
  5. Step 5: Solve for x
    x = 900,660,121/19,703
  6. Step 6: Final answer
    x = 45,711.83

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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.