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Finding the Third Proportional to 39,578.63 and 84,693.38

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Solution

The third proportional to 39,578.63 and 84,693.38 is: 181,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,578.63 : 84,693.38 = 84,693.38 : x
  2. Step 2: Convert to fraction form
    39,578.63/84,693.38 = 84,693.38/x
  3. Step 3: Cross multiply
    39,578.63x = 84,693.38 × 84,693.38
  4. Step 4: Simplify right side
    39,578.63x = 7,172,967,768.89
  5. Step 5: Solve for x
    x = 7,172,967,768.89/39,578.63
  6. Step 6: Final answer
    x = 181,233.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.