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Finding the Third Proportional to 3,749.48 and 8,205.19

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Solution

The third proportional to 3,749.48 and 8,205.19 is: 17,955.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.48 : 8,205.19 = 8,205.19 : x
  2. Step 2: Convert to fraction form
    3,749.48/8,205.19 = 8,205.19/x
  3. Step 3: Cross multiply
    3,749.48x = 8,205.19 × 8,205.19
  4. Step 4: Simplify right side
    3,749.48x = 67,325,101.91
  5. Step 5: Solve for x
    x = 67,325,101.91/3,749.48
  6. Step 6: Final answer
    x = 17,955.83

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.