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Finding the Third Proportional to 40,527.84 and 83,060.44

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Solution

The third proportional to 40,527.84 and 83,060.44 is: 170,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,527.84 : 83,060.44 = 83,060.44 : x
  2. Step 2: Convert to fraction form
    40,527.84/83,060.44 = 83,060.44/x
  3. Step 3: Cross multiply
    40,527.84x = 83,060.44 × 83,060.44
  4. Step 4: Simplify right side
    40,527.84x = 6,899,036,277.69
  5. Step 5: Solve for x
    x = 6,899,036,277.69/40,527.84
  6. Step 6: Final answer
    x = 170,229.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.