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Finding the Third Proportional to 17,764.50 and 36,141

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Solution

The third proportional to 17,764.50 and 36,141 is: 73,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.50 : 36,141 = 36,141 : x
  2. Step 2: Convert to fraction form
    17,764.50/36,141 = 36,141/x
  3. Step 3: Cross multiply
    17,764.50x = 36,141 × 36,141
  4. Step 4: Simplify right side
    17,764.50x = 1,306,171,881
  5. Step 5: Solve for x
    x = 1,306,171,881/17,764.50
  6. Step 6: Final answer
    x = 73,527.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.