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Finding the Third Proportional to 30,132 and 57,529.41

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Solution

The third proportional to 30,132 and 57,529.41 is: 109,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,132 : 57,529.41 = 57,529.41 : x
  2. Step 2: Convert to fraction form
    30,132/57,529.41 = 57,529.41/x
  3. Step 3: Cross multiply
    30,132x = 57,529.41 × 57,529.41
  4. Step 4: Simplify right side
    30,132x = 3,309,632,583.48
  5. Step 5: Solve for x
    x = 3,309,632,583.48/30,132
  6. Step 6: Final answer
    x = 109,837.80

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.