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Finding the Third Proportional to 46,845 and 74,925

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Solution

The third proportional to 46,845 and 74,925 is: 119,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,845 : 74,925 = 74,925 : x
  2. Step 2: Convert to fraction form
    46,845/74,925 = 74,925/x
  3. Step 3: Cross multiply
    46,845x = 74,925 × 74,925
  4. Step 4: Simplify right side
    46,845x = 5,613,755,625
  5. Step 5: Solve for x
    x = 5,613,755,625/46,845
  6. Step 6: Final answer
    x = 119,836.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.