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Finding the Third Proportional to 19,862 and 41,357

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Solution

The third proportional to 19,862 and 41,357 is: 86,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862 : 41,357 = 41,357 : x
  2. Step 2: Convert to fraction form
    19,862/41,357 = 41,357/x
  3. Step 3: Cross multiply
    19,862x = 41,357 × 41,357
  4. Step 4: Simplify right side
    19,862x = 1,710,401,449
  5. Step 5: Solve for x
    x = 1,710,401,449/19,862
  6. Step 6: Final answer
    x = 86,114.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.