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Finding the Third Proportional to 3,193.65 and 4,323.45

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Solution

The third proportional to 3,193.65 and 4,323.45 is: 5,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.65 : 4,323.45 = 4,323.45 : x
  2. Step 2: Convert to fraction form
    3,193.65/4,323.45 = 4,323.45/x
  3. Step 3: Cross multiply
    3,193.65x = 4,323.45 × 4,323.45
  4. Step 4: Simplify right side
    3,193.65x = 18,692,255.37
  5. Step 5: Solve for x
    x = 18,692,255.37/3,193.65
  6. Step 6: Final answer
    x = 5,852.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.