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Finding the Third Proportional to 28,498 and 44,274

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Solution

The third proportional to 28,498 and 44,274 is: 68,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,498 : 44,274 = 44,274 : x
  2. Step 2: Convert to fraction form
    28,498/44,274 = 44,274/x
  3. Step 3: Cross multiply
    28,498x = 44,274 × 44,274
  4. Step 4: Simplify right side
    28,498x = 1,960,187,076
  5. Step 5: Solve for x
    x = 1,960,187,076/28,498
  6. Step 6: Final answer
    x = 68,783.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.