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Finding the Third Proportional to 35,970.75 and 84,016.13

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Solution

The third proportional to 35,970.75 and 84,016.13 is: 196,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970.75 : 84,016.13 = 84,016.13 : x
  2. Step 2: Convert to fraction form
    35,970.75/84,016.13 = 84,016.13/x
  3. Step 3: Cross multiply
    35,970.75x = 84,016.13 × 84,016.13
  4. Step 4: Simplify right side
    35,970.75x = 7,058,709,260.02
  5. Step 5: Solve for x
    x = 7,058,709,260.02/35,970.75
  6. Step 6: Final answer
    x = 196,234.70

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.