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Finding the Third Proportional to 35,350.50 and 76,921.50

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Solution

The third proportional to 35,350.50 and 76,921.50 is: 167,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,350.50 : 76,921.50 = 76,921.50 : x
  2. Step 2: Convert to fraction form
    35,350.50/76,921.50 = 76,921.50/x
  3. Step 3: Cross multiply
    35,350.50x = 76,921.50 × 76,921.50
  4. Step 4: Simplify right side
    35,350.50x = 5,916,917,162.25
  5. Step 5: Solve for x
    x = 5,916,917,162.25/35,350.50
  6. Step 6: Final answer
    x = 167,378.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.