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Finding the Third Proportional to 4,128.70 and 6,194.34

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Solution

The third proportional to 4,128.70 and 6,194.34 is: 9,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.70 : 6,194.34 = 6,194.34 : x
  2. Step 2: Convert to fraction form
    4,128.70/6,194.34 = 6,194.34/x
  3. Step 3: Cross multiply
    4,128.70x = 6,194.34 × 6,194.34
  4. Step 4: Simplify right side
    4,128.70x = 38,369,894.49
  5. Step 5: Solve for x
    x = 38,369,894.49/4,128.70
  6. Step 6: Final answer
    x = 9,293.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.