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Finding the Third Proportional to 29,868.75 and 65,274.75

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Solution

The third proportional to 29,868.75 and 65,274.75 is: 142,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868.75 : 65,274.75 = 65,274.75 : x
  2. Step 2: Convert to fraction form
    29,868.75/65,274.75 = 65,274.75/x
  3. Step 3: Cross multiply
    29,868.75x = 65,274.75 × 65,274.75
  4. Step 4: Simplify right side
    29,868.75x = 4,260,792,987.56
  5. Step 5: Solve for x
    x = 4,260,792,987.56/29,868.75
  6. Step 6: Final answer
    x = 142,650.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.