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Finding the Third Proportional to 12,224 and 17,482

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Solution

The third proportional to 12,224 and 17,482 is: 25,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 17,482 = 17,482 : x
  2. Step 2: Convert to fraction form
    12,224/17,482 = 17,482/x
  3. Step 3: Cross multiply
    12,224x = 17,482 × 17,482
  4. Step 4: Simplify right side
    12,224x = 305,620,324
  5. Step 5: Solve for x
    x = 305,620,324/12,224
  6. Step 6: Final answer
    x = 25,001.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.