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Finding the Third Proportional to 46,359 and 62,975

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Solution

The third proportional to 46,359 and 62,975 is: 85,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,359 : 62,975 = 62,975 : x
  2. Step 2: Convert to fraction form
    46,359/62,975 = 62,975/x
  3. Step 3: Cross multiply
    46,359x = 62,975 × 62,975
  4. Step 4: Simplify right side
    46,359x = 3,965,850,625
  5. Step 5: Solve for x
    x = 3,965,850,625/46,359
  6. Step 6: Final answer
    x = 85,546.51

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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.