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Finding the Third Proportional to 15,414 and 36,024

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Solution

The third proportional to 15,414 and 36,024 is: 84,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414 : 36,024 = 36,024 : x
  2. Step 2: Convert to fraction form
    15,414/36,024 = 36,024/x
  3. Step 3: Cross multiply
    15,414x = 36,024 × 36,024
  4. Step 4: Simplify right side
    15,414x = 1,297,728,576
  5. Step 5: Solve for x
    x = 1,297,728,576/15,414
  6. Step 6: Final answer
    x = 84,191.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.