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Finding the Third Proportional to 12,096 and 28,260

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Solution

The third proportional to 12,096 and 28,260 is: 66,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096 : 28,260 = 28,260 : x
  2. Step 2: Convert to fraction form
    12,096/28,260 = 28,260/x
  3. Step 3: Cross multiply
    12,096x = 28,260 × 28,260
  4. Step 4: Simplify right side
    12,096x = 798,627,600
  5. Step 5: Solve for x
    x = 798,627,600/12,096
  6. Step 6: Final answer
    x = 66,024.11

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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.