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Finding the Third Proportional to 20,534.25 and 30,069.75

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Solution

The third proportional to 20,534.25 and 30,069.75 is: 44,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.25 : 30,069.75 = 30,069.75 : x
  2. Step 2: Convert to fraction form
    20,534.25/30,069.75 = 30,069.75/x
  3. Step 3: Cross multiply
    20,534.25x = 30,069.75 × 30,069.75
  4. Step 4: Simplify right side
    20,534.25x = 904,189,865.06
  5. Step 5: Solve for x
    x = 904,189,865.06/20,534.25
  6. Step 6: Final answer
    x = 44,033.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.