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Finding the Third Proportional to 35,693.16 and 84,558.94

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Solution

The third proportional to 35,693.16 and 84,558.94 is: 200,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,693.16 : 84,558.94 = 84,558.94 : x
  2. Step 2: Convert to fraction form
    35,693.16/84,558.94 = 84,558.94/x
  3. Step 3: Cross multiply
    35,693.16x = 84,558.94 × 84,558.94
  4. Step 4: Simplify right side
    35,693.16x = 7,150,213,911.13
  5. Step 5: Solve for x
    x = 7,150,213,911.13/35,693.16
  6. Step 6: Final answer
    x = 200,324.51

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.