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Finding the Third Proportional to 28,273 and 43,634

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Solution

The third proportional to 28,273 and 43,634 is: 67,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,273 : 43,634 = 43,634 : x
  2. Step 2: Convert to fraction form
    28,273/43,634 = 43,634/x
  3. Step 3: Cross multiply
    28,273x = 43,634 × 43,634
  4. Step 4: Simplify right side
    28,273x = 1,903,925,956
  5. Step 5: Solve for x
    x = 1,903,925,956/28,273
  6. Step 6: Final answer
    x = 67,340.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.