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Finding the Third Proportional to 9,244.50 and 15,020.25

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Solution

The third proportional to 9,244.50 and 15,020.25 is: 24,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.50 : 15,020.25 = 15,020.25 : x
  2. Step 2: Convert to fraction form
    9,244.50/15,020.25 = 15,020.25/x
  3. Step 3: Cross multiply
    9,244.50x = 15,020.25 × 15,020.25
  4. Step 4: Simplify right side
    9,244.50x = 225,607,910.06
  5. Step 5: Solve for x
    x = 225,607,910.06/9,244.50
  6. Step 6: Final answer
    x = 24,404.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.