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Finding the Third Proportional to 28,324 and 66,150

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Solution

The third proportional to 28,324 and 66,150 is: 154,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,324 : 66,150 = 66,150 : x
  2. Step 2: Convert to fraction form
    28,324/66,150 = 66,150/x
  3. Step 3: Cross multiply
    28,324x = 66,150 × 66,150
  4. Step 4: Simplify right side
    28,324x = 4,375,822,500
  5. Step 5: Solve for x
    x = 4,375,822,500/28,324
  6. Step 6: Final answer
    x = 154,491.69

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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.