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Finding the Third Proportional to 46,608 and 61,299

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Solution

The third proportional to 46,608 and 61,299 is: 80,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,608 : 61,299 = 61,299 : x
  2. Step 2: Convert to fraction form
    46,608/61,299 = 61,299/x
  3. Step 3: Cross multiply
    46,608x = 61,299 × 61,299
  4. Step 4: Simplify right side
    46,608x = 3,757,567,401
  5. Step 5: Solve for x
    x = 3,757,567,401/46,608
  6. Step 6: Final answer
    x = 80,620.65

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.