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Finding the Third Proportional to 1,353.94 and 2,147.34

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Solution

The third proportional to 1,353.94 and 2,147.34 is: 3,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.94 : 2,147.34 = 2,147.34 : x
  2. Step 2: Convert to fraction form
    1,353.94/2,147.34 = 2,147.34/x
  3. Step 3: Cross multiply
    1,353.94x = 2,147.34 × 2,147.34
  4. Step 4: Simplify right side
    1,353.94x = 4,611,085.18
  5. Step 5: Solve for x
    x = 4,611,085.18/1,353.94
  6. Step 6: Final answer
    x = 3,405.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.