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Finding the Third Proportional to 30,228.19 and 40,344.75

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Solution

The third proportional to 30,228.19 and 40,344.75 is: 53,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228.19 : 40,344.75 = 40,344.75 : x
  2. Step 2: Convert to fraction form
    30,228.19/40,344.75 = 40,344.75/x
  3. Step 3: Cross multiply
    30,228.19x = 40,344.75 × 40,344.75
  4. Step 4: Simplify right side
    30,228.19x = 1,627,698,852.56
  5. Step 5: Solve for x
    x = 1,627,698,852.56/30,228.19
  6. Step 6: Final answer
    x = 53,847.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.