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Finding the Third Proportional to 29,967.75 and 62,805.38

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Solution

The third proportional to 29,967.75 and 62,805.38 is: 131,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,967.75 : 62,805.38 = 62,805.38 : x
  2. Step 2: Convert to fraction form
    29,967.75/62,805.38 = 62,805.38/x
  3. Step 3: Cross multiply
    29,967.75x = 62,805.38 × 62,805.38
  4. Step 4: Simplify right side
    29,967.75x = 3,944,515,128.89
  5. Step 5: Solve for x
    x = 3,944,515,128.89/29,967.75
  6. Step 6: Final answer
    x = 131,625.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.