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Finding the Third Proportional to 32,994 and 71,094

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Solution

The third proportional to 32,994 and 71,094 is: 153,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994 : 71,094 = 71,094 : x
  2. Step 2: Convert to fraction form
    32,994/71,094 = 71,094/x
  3. Step 3: Cross multiply
    32,994x = 71,094 × 71,094
  4. Step 4: Simplify right side
    32,994x = 5,054,356,836
  5. Step 5: Solve for x
    x = 5,054,356,836/32,994
  6. Step 6: Final answer
    x = 153,190.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.