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Finding the Third Proportional to 6,004.69 and 9,420.19

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Solution

The third proportional to 6,004.69 and 9,420.19 is: 14,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.69 : 9,420.19 = 9,420.19 : x
  2. Step 2: Convert to fraction form
    6,004.69/9,420.19 = 9,420.19/x
  3. Step 3: Cross multiply
    6,004.69x = 9,420.19 × 9,420.19
  4. Step 4: Simplify right side
    6,004.69x = 88,739,932.54
  5. Step 5: Solve for x
    x = 88,739,932.54/6,004.69
  6. Step 6: Final answer
    x = 14,778.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.