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Finding the Third Proportional to 28,238 and 37,488

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Solution

The third proportional to 28,238 and 37,488 is: 49,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238 : 37,488 = 37,488 : x
  2. Step 2: Convert to fraction form
    28,238/37,488 = 37,488/x
  3. Step 3: Cross multiply
    28,238x = 37,488 × 37,488
  4. Step 4: Simplify right side
    28,238x = 1,405,350,144
  5. Step 5: Solve for x
    x = 1,405,350,144/28,238
  6. Step 6: Final answer
    x = 49,768.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.