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Finding the Third Proportional to 28,242.75 and 58,824.75

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Solution

The third proportional to 28,242.75 and 58,824.75 is: 122,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242.75 : 58,824.75 = 58,824.75 : x
  2. Step 2: Convert to fraction form
    28,242.75/58,824.75 = 58,824.75/x
  3. Step 3: Cross multiply
    28,242.75x = 58,824.75 × 58,824.75
  4. Step 4: Simplify right side
    28,242.75x = 3,460,351,212.56
  5. Step 5: Solve for x
    x = 3,460,351,212.56/28,242.75
  6. Step 6: Final answer
    x = 122,521.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.