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Finding the Third Proportional to 43,447 and 94,367

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Solution

The third proportional to 43,447 and 94,367 is: 204,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,447 : 94,367 = 94,367 : x
  2. Step 2: Convert to fraction form
    43,447/94,367 = 94,367/x
  3. Step 3: Cross multiply
    43,447x = 94,367 × 94,367
  4. Step 4: Simplify right side
    43,447x = 8,905,130,689
  5. Step 5: Solve for x
    x = 8,905,130,689/43,447
  6. Step 6: Final answer
    x = 204,965.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.