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Finding the Third Proportional to 9,784 and 20,228

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Solution

The third proportional to 9,784 and 20,228 is: 41,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784 : 20,228 = 20,228 : x
  2. Step 2: Convert to fraction form
    9,784/20,228 = 20,228/x
  3. Step 3: Cross multiply
    9,784x = 20,228 × 20,228
  4. Step 4: Simplify right side
    9,784x = 409,171,984
  5. Step 5: Solve for x
    x = 409,171,984/9,784
  6. Step 6: Final answer
    x = 41,820.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.