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Finding the Third Proportional to 1,521.42 and 3,285.84

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Solution

The third proportional to 1,521.42 and 3,285.84 is: 7,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.42 : 3,285.84 = 3,285.84 : x
  2. Step 2: Convert to fraction form
    1,521.42/3,285.84 = 3,285.84/x
  3. Step 3: Cross multiply
    1,521.42x = 3,285.84 × 3,285.84
  4. Step 4: Simplify right side
    1,521.42x = 10,796,769.15
  5. Step 5: Solve for x
    x = 10,796,769.15/1,521.42
  6. Step 6: Final answer
    x = 7,096.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.