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Finding the Third Proportional to 9,441 and 19,489.50

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Solution

The third proportional to 9,441 and 19,489.50 is: 40,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441 : 19,489.50 = 19,489.50 : x
  2. Step 2: Convert to fraction form
    9,441/19,489.50 = 19,489.50/x
  3. Step 3: Cross multiply
    9,441x = 19,489.50 × 19,489.50
  4. Step 4: Simplify right side
    9,441x = 379,840,610.25
  5. Step 5: Solve for x
    x = 379,840,610.25/9,441
  6. Step 6: Final answer
    x = 40,233.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.