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Finding the Third Proportional to 19,291 and 42,281

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Solution

The third proportional to 19,291 and 42,281 is: 92,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,291 : 42,281 = 42,281 : x
  2. Step 2: Convert to fraction form
    19,291/42,281 = 42,281/x
  3. Step 3: Cross multiply
    19,291x = 42,281 × 42,281
  4. Step 4: Simplify right side
    19,291x = 1,787,682,961
  5. Step 5: Solve for x
    x = 1,787,682,961/19,291
  6. Step 6: Final answer
    x = 92,669.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.