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Finding the Third Proportional to 46,986 and 72,801

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Solution

The third proportional to 46,986 and 72,801 is: 112,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,986 : 72,801 = 72,801 : x
  2. Step 2: Convert to fraction form
    46,986/72,801 = 72,801/x
  3. Step 3: Cross multiply
    46,986x = 72,801 × 72,801
  4. Step 4: Simplify right side
    46,986x = 5,299,985,601
  5. Step 5: Solve for x
    x = 5,299,985,601/46,986
  6. Step 6: Final answer
    x = 112,799.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.