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Finding the Third Proportional to 21,042 and 45,850

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Solution

The third proportional to 21,042 and 45,850 is: 99,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042 : 45,850 = 45,850 : x
  2. Step 2: Convert to fraction form
    21,042/45,850 = 45,850/x
  3. Step 3: Cross multiply
    21,042x = 45,850 × 45,850
  4. Step 4: Simplify right side
    21,042x = 2,102,222,500
  5. Step 5: Solve for x
    x = 2,102,222,500/21,042
  6. Step 6: Final answer
    x = 99,906.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.