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Finding the Third Proportional to 19,697 and 29,780

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Solution

The third proportional to 19,697 and 29,780 is: 45,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697 : 29,780 = 29,780 : x
  2. Step 2: Convert to fraction form
    19,697/29,780 = 29,780/x
  3. Step 3: Cross multiply
    19,697x = 29,780 × 29,780
  4. Step 4: Simplify right side
    19,697x = 886,848,400
  5. Step 5: Solve for x
    x = 886,848,400/19,697
  6. Step 6: Final answer
    x = 45,024.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.