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Finding the Third Proportional to 57,982.08 and 84,894.33

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Solution

The third proportional to 57,982.08 and 84,894.33 is: 124,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,982.08 : 84,894.33 = 84,894.33 : x
  2. Step 2: Convert to fraction form
    57,982.08/84,894.33 = 84,894.33/x
  3. Step 3: Cross multiply
    57,982.08x = 84,894.33 × 84,894.33
  4. Step 4: Simplify right side
    57,982.08x = 7,207,046,947.80
  5. Step 5: Solve for x
    x = 7,207,046,947.80/57,982.08
  6. Step 6: Final answer
    x = 124,297.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.