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Finding the Third Proportional to 35,018.25 and 74,957.25

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Solution

The third proportional to 35,018.25 and 74,957.25 is: 160,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,018.25 : 74,957.25 = 74,957.25 : x
  2. Step 2: Convert to fraction form
    35,018.25/74,957.25 = 74,957.25/x
  3. Step 3: Cross multiply
    35,018.25x = 74,957.25 × 74,957.25
  4. Step 4: Simplify right side
    35,018.25x = 5,618,589,327.56
  5. Step 5: Solve for x
    x = 5,618,589,327.56/35,018.25
  6. Step 6: Final answer
    x = 160,447.46

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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.