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Finding the Third Proportional to 19,038 and 39,800

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Solution

The third proportional to 19,038 and 39,800 is: 83,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,038 : 39,800 = 39,800 : x
  2. Step 2: Convert to fraction form
    19,038/39,800 = 39,800/x
  3. Step 3: Cross multiply
    19,038x = 39,800 × 39,800
  4. Step 4: Simplify right side
    19,038x = 1,584,040,000
  5. Step 5: Solve for x
    x = 1,584,040,000/19,038
  6. Step 6: Final answer
    x = 83,204.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.