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Finding the Third Proportional to 28,020.75 and 58,638

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Solution

The third proportional to 28,020.75 and 58,638 is: 122,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,020.75 : 58,638 = 58,638 : x
  2. Step 2: Convert to fraction form
    28,020.75/58,638 = 58,638/x
  3. Step 3: Cross multiply
    28,020.75x = 58,638 × 58,638
  4. Step 4: Simplify right side
    28,020.75x = 3,438,415,044
  5. Step 5: Solve for x
    x = 3,438,415,044/28,020.75
  6. Step 6: Final answer
    x = 122,709.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.