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Finding the Third Proportional to 31,447 and 47,575

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Solution

The third proportional to 31,447 and 47,575 is: 71,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447 : 47,575 = 47,575 : x
  2. Step 2: Convert to fraction form
    31,447/47,575 = 47,575/x
  3. Step 3: Cross multiply
    31,447x = 47,575 × 47,575
  4. Step 4: Simplify right side
    31,447x = 2,263,380,625
  5. Step 5: Solve for x
    x = 2,263,380,625/31,447
  6. Step 6: Final answer
    x = 71,974.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.