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Finding the Third Proportional to 1,407.94 and 2,914.59

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Solution

The third proportional to 1,407.94 and 2,914.59 is: 6,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.94 : 2,914.59 = 2,914.59 : x
  2. Step 2: Convert to fraction form
    1,407.94/2,914.59 = 2,914.59/x
  3. Step 3: Cross multiply
    1,407.94x = 2,914.59 × 2,914.59
  4. Step 4: Simplify right side
    1,407.94x = 8,494,856.73
  5. Step 5: Solve for x
    x = 8,494,856.73/1,407.94
  6. Step 6: Final answer
    x = 6,033.55

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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.