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Finding the Third Proportional to 41,206 and 47,038

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Solution

The third proportional to 41,206 and 47,038 is: 53,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,206 : 47,038 = 47,038 : x
  2. Step 2: Convert to fraction form
    41,206/47,038 = 47,038/x
  3. Step 3: Cross multiply
    41,206x = 47,038 × 47,038
  4. Step 4: Simplify right side
    41,206x = 2,212,573,444
  5. Step 5: Solve for x
    x = 2,212,573,444/41,206
  6. Step 6: Final answer
    x = 53,695.42

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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.