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Finding the Third Proportional to 19,833 and 41,310

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Solution

The third proportional to 19,833 and 41,310 is: 86,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833 : 41,310 = 41,310 : x
  2. Step 2: Convert to fraction form
    19,833/41,310 = 41,310/x
  3. Step 3: Cross multiply
    19,833x = 41,310 × 41,310
  4. Step 4: Simplify right side
    19,833x = 1,706,516,100
  5. Step 5: Solve for x
    x = 1,706,516,100/19,833
  6. Step 6: Final answer
    x = 86,044.27

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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.