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Finding the Third Proportional to 45,954 and 62,367

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Solution

The third proportional to 45,954 and 62,367 is: 84,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,954 : 62,367 = 62,367 : x
  2. Step 2: Convert to fraction form
    45,954/62,367 = 62,367/x
  3. Step 3: Cross multiply
    45,954x = 62,367 × 62,367
  4. Step 4: Simplify right side
    45,954x = 3,889,642,689
  5. Step 5: Solve for x
    x = 3,889,642,689/45,954
  6. Step 6: Final answer
    x = 84,642.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.