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Finding the Third Proportional to 28,584 and 43,846

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Solution

The third proportional to 28,584 and 43,846 is: 67,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,584 : 43,846 = 43,846 : x
  2. Step 2: Convert to fraction form
    28,584/43,846 = 43,846/x
  3. Step 3: Cross multiply
    28,584x = 43,846 × 43,846
  4. Step 4: Simplify right side
    28,584x = 1,922,471,716
  5. Step 5: Solve for x
    x = 1,922,471,716/28,584
  6. Step 6: Final answer
    x = 67,256.92

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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.