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Finding the Third Proportional to 18,576 and 28,336

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Solution

The third proportional to 18,576 and 28,336 is: 43,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576 : 28,336 = 28,336 : x
  2. Step 2: Convert to fraction form
    18,576/28,336 = 28,336/x
  3. Step 3: Cross multiply
    18,576x = 28,336 × 28,336
  4. Step 4: Simplify right side
    18,576x = 802,928,896
  5. Step 5: Solve for x
    x = 802,928,896/18,576
  6. Step 6: Final answer
    x = 43,223.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.