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Finding the Third Proportional to 18,784 and 25,024

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Solution

The third proportional to 18,784 and 25,024 is: 33,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784 : 25,024 = 25,024 : x
  2. Step 2: Convert to fraction form
    18,784/25,024 = 25,024/x
  3. Step 3: Cross multiply
    18,784x = 25,024 × 25,024
  4. Step 4: Simplify right side
    18,784x = 626,200,576
  5. Step 5: Solve for x
    x = 626,200,576/18,784
  6. Step 6: Final answer
    x = 33,336.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.