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Finding the Third Proportional to 19,737 and 30,011

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Solution

The third proportional to 19,737 and 30,011 is: 45,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737 : 30,011 = 30,011 : x
  2. Step 2: Convert to fraction form
    19,737/30,011 = 30,011/x
  3. Step 3: Cross multiply
    19,737x = 30,011 × 30,011
  4. Step 4: Simplify right side
    19,737x = 900,660,121
  5. Step 5: Solve for x
    x = 900,660,121/19,737
  6. Step 6: Final answer
    x = 45,633.08

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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.