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Finding the Third Proportional to 28,896 and 54,336

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Solution

The third proportional to 28,896 and 54,336 is: 102,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,896 : 54,336 = 54,336 : x
  2. Step 2: Convert to fraction form
    28,896/54,336 = 54,336/x
  3. Step 3: Cross multiply
    28,896x = 54,336 × 54,336
  4. Step 4: Simplify right side
    28,896x = 2,952,400,896
  5. Step 5: Solve for x
    x = 2,952,400,896/28,896
  6. Step 6: Final answer
    x = 102,173.34

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.