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Finding the Third Proportional to 12,024 and 18,534

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Solution

The third proportional to 12,024 and 18,534 is: 28,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 18,534 = 18,534 : x
  2. Step 2: Convert to fraction form
    12,024/18,534 = 18,534/x
  3. Step 3: Cross multiply
    12,024x = 18,534 × 18,534
  4. Step 4: Simplify right side
    12,024x = 343,509,156
  5. Step 5: Solve for x
    x = 343,509,156/12,024
  6. Step 6: Final answer
    x = 28,568.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.