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Finding the Third Proportional to 847.34 and 1,347.96

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Solution

The third proportional to 847.34 and 1,347.96 is: 2,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.34 : 1,347.96 = 1,347.96 : x
  2. Step 2: Convert to fraction form
    847.34/1,347.96 = 1,347.96/x
  3. Step 3: Cross multiply
    847.34x = 1,347.96 × 1,347.96
  4. Step 4: Simplify right side
    847.34x = 1,816,998.69
  5. Step 5: Solve for x
    x = 1,816,998.69/847.34
  6. Step 6: Final answer
    x = 2,144.37

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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.