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Finding the Third Proportional to 1,512.84 and 3,474.14

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Solution

The third proportional to 1,512.84 and 3,474.14 is: 7,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.84 : 3,474.14 = 3,474.14 : x
  2. Step 2: Convert to fraction form
    1,512.84/3,474.14 = 3,474.14/x
  3. Step 3: Cross multiply
    1,512.84x = 3,474.14 × 3,474.14
  4. Step 4: Simplify right side
    1,512.84x = 12,069,653.08
  5. Step 5: Solve for x
    x = 12,069,653.08/1,512.84
  6. Step 6: Final answer
    x = 7,978.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.