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Finding the Third Proportional to 19,368 and 39,272

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Solution

The third proportional to 19,368 and 39,272 is: 79,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,368 : 39,272 = 39,272 : x
  2. Step 2: Convert to fraction form
    19,368/39,272 = 39,272/x
  3. Step 3: Cross multiply
    19,368x = 39,272 × 39,272
  4. Step 4: Simplify right side
    19,368x = 1,542,289,984
  5. Step 5: Solve for x
    x = 1,542,289,984/19,368
  6. Step 6: Final answer
    x = 79,630.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.