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Finding the Third Proportional to 18,144 and 28,674

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Solution

The third proportional to 18,144 and 28,674 is: 45,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144 : 28,674 = 28,674 : x
  2. Step 2: Convert to fraction form
    18,144/28,674 = 28,674/x
  3. Step 3: Cross multiply
    18,144x = 28,674 × 28,674
  4. Step 4: Simplify right side
    18,144x = 822,198,276
  5. Step 5: Solve for x
    x = 822,198,276/18,144
  6. Step 6: Final answer
    x = 45,315.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.