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Finding the Third Proportional to 19,732 and 29,800

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Solution

The third proportional to 19,732 and 29,800 is: 45,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732 : 29,800 = 29,800 : x
  2. Step 2: Convert to fraction form
    19,732/29,800 = 29,800/x
  3. Step 3: Cross multiply
    19,732x = 29,800 × 29,800
  4. Step 4: Simplify right side
    19,732x = 888,040,000
  5. Step 5: Solve for x
    x = 888,040,000/19,732
  6. Step 6: Final answer
    x = 45,005.07

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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.