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Finding the Third Proportional to 13,230 and 18,020

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Solution

The third proportional to 13,230 and 18,020 is: 24,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230 : 18,020 = 18,020 : x
  2. Step 2: Convert to fraction form
    13,230/18,020 = 18,020/x
  3. Step 3: Cross multiply
    13,230x = 18,020 × 18,020
  4. Step 4: Simplify right side
    13,230x = 324,720,400
  5. Step 5: Solve for x
    x = 324,720,400/13,230
  6. Step 6: Final answer
    x = 24,544.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.