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Finding the Third Proportional to 28,251 and 38,737

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Solution

The third proportional to 28,251 and 38,737 is: 53,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,251 : 38,737 = 38,737 : x
  2. Step 2: Convert to fraction form
    28,251/38,737 = 38,737/x
  3. Step 3: Cross multiply
    28,251x = 38,737 × 38,737
  4. Step 4: Simplify right side
    28,251x = 1,500,555,169
  5. Step 5: Solve for x
    x = 1,500,555,169/28,251
  6. Step 6: Final answer
    x = 53,115.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.