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Finding the Third Proportional to 1,364.06 and 2,174.34

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Solution

The third proportional to 1,364.06 and 2,174.34 is: 3,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.06 : 2,174.34 = 2,174.34 : x
  2. Step 2: Convert to fraction form
    1,364.06/2,174.34 = 2,174.34/x
  3. Step 3: Cross multiply
    1,364.06x = 2,174.34 × 2,174.34
  4. Step 4: Simplify right side
    1,364.06x = 4,727,770.74
  5. Step 5: Solve for x
    x = 4,727,770.74/1,364.06
  6. Step 6: Final answer
    x = 3,465.95

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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.