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Finding the Third Proportional to 28,812 and 38,294

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Solution

The third proportional to 28,812 and 38,294 is: 50,896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,812 : 38,294 = 38,294 : x
  2. Step 2: Convert to fraction form
    28,812/38,294 = 38,294/x
  3. Step 3: Cross multiply
    28,812x = 38,294 × 38,294
  4. Step 4: Simplify right side
    28,812x = 1,466,430,436
  5. Step 5: Solve for x
    x = 1,466,430,436/28,812
  6. Step 6: Final answer
    x = 50,896.52

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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.