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Finding the Third Proportional to 33,013.50 and 51,141

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Solution

The third proportional to 33,013.50 and 51,141 is: 79,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,013.50 : 51,141 = 51,141 : x
  2. Step 2: Convert to fraction form
    33,013.50/51,141 = 51,141/x
  3. Step 3: Cross multiply
    33,013.50x = 51,141 × 51,141
  4. Step 4: Simplify right side
    33,013.50x = 2,615,401,881
  5. Step 5: Solve for x
    x = 2,615,401,881/33,013.50
  6. Step 6: Final answer
    x = 79,222.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.