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Finding the Third Proportional to 2,932.37 and 6,069.78

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Solution

The third proportional to 2,932.37 and 6,069.78 is: 12,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.37 : 6,069.78 = 6,069.78 : x
  2. Step 2: Convert to fraction form
    2,932.37/6,069.78 = 6,069.78/x
  3. Step 3: Cross multiply
    2,932.37x = 6,069.78 × 6,069.78
  4. Step 4: Simplify right side
    2,932.37x = 36,842,220.71
  5. Step 5: Solve for x
    x = 36,842,220.71/2,932.37
  6. Step 6: Final answer
    x = 12,563.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.