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Finding the Third Proportional to 41,210 and 47,042

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Solution

The third proportional to 41,210 and 47,042 is: 53,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,210 : 47,042 = 47,042 : x
  2. Step 2: Convert to fraction form
    41,210/47,042 = 47,042/x
  3. Step 3: Cross multiply
    41,210x = 47,042 × 47,042
  4. Step 4: Simplify right side
    41,210x = 2,212,949,764
  5. Step 5: Solve for x
    x = 2,212,949,764/41,210
  6. Step 6: Final answer
    x = 53,699.34

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.