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Finding the Third Proportional to 20,050 and 28,252

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Solution

The third proportional to 20,050 and 28,252 is: 39,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050 : 28,252 = 28,252 : x
  2. Step 2: Convert to fraction form
    20,050/28,252 = 28,252/x
  3. Step 3: Cross multiply
    20,050x = 28,252 × 28,252
  4. Step 4: Simplify right side
    20,050x = 798,175,504
  5. Step 5: Solve for x
    x = 798,175,504/20,050
  6. Step 6: Final answer
    x = 39,809.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.