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Finding the Third Proportional to 35,989.31 and 57,497.34

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Solution

The third proportional to 35,989.31 and 57,497.34 is: 91,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,989.31 : 57,497.34 = 57,497.34 : x
  2. Step 2: Convert to fraction form
    35,989.31/57,497.34 = 57,497.34/x
  3. Step 3: Cross multiply
    35,989.31x = 57,497.34 × 57,497.34
  4. Step 4: Simplify right side
    35,989.31x = 3,305,944,538.31
  5. Step 5: Solve for x
    x = 3,305,944,538.31/35,989.31
  6. Step 6: Final answer
    x = 91,859.06

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.