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Finding the Third Proportional to 29,211 and 47,462

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Solution

The third proportional to 29,211 and 47,462 is: 77,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,211 : 47,462 = 47,462 : x
  2. Step 2: Convert to fraction form
    29,211/47,462 = 47,462/x
  3. Step 3: Cross multiply
    29,211x = 47,462 × 47,462
  4. Step 4: Simplify right side
    29,211x = 2,252,641,444
  5. Step 5: Solve for x
    x = 2,252,641,444/29,211
  6. Step 6: Final answer
    x = 77,116.20

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.