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Finding the Third Proportional to 12,000 and 19,024

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Solution

The third proportional to 12,000 and 19,024 is: 30,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000 : 19,024 = 19,024 : x
  2. Step 2: Convert to fraction form
    12,000/19,024 = 19,024/x
  3. Step 3: Cross multiply
    12,000x = 19,024 × 19,024
  4. Step 4: Simplify right side
    12,000x = 361,912,576
  5. Step 5: Solve for x
    x = 361,912,576/12,000
  6. Step 6: Final answer
    x = 30,159.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.