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Finding the Third Proportional to 28,097 and 39,523

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Solution

The third proportional to 28,097 and 39,523 is: 55,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,097 : 39,523 = 39,523 : x
  2. Step 2: Convert to fraction form
    28,097/39,523 = 39,523/x
  3. Step 3: Cross multiply
    28,097x = 39,523 × 39,523
  4. Step 4: Simplify right side
    28,097x = 1,562,067,529
  5. Step 5: Solve for x
    x = 1,562,067,529/28,097
  6. Step 6: Final answer
    x = 55,595.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.