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Finding the Third Proportional to 33,989.06 and 72,900.56

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Solution

The third proportional to 33,989.06 and 72,900.56 is: 156,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,989.06 : 72,900.56 = 72,900.56 : x
  2. Step 2: Convert to fraction form
    33,989.06/72,900.56 = 72,900.56/x
  3. Step 3: Cross multiply
    33,989.06x = 72,900.56 × 72,900.56
  4. Step 4: Simplify right side
    33,989.06x = 5,314,492,012.82
  5. Step 5: Solve for x
    x = 5,314,492,012.82/33,989.06
  6. Step 6: Final answer
    x = 156,358.89

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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.