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Finding the Third Proportional to 23,812.88 and 34,982.44

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Solution

The third proportional to 23,812.88 and 34,982.44 is: 51,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.88 : 34,982.44 = 34,982.44 : x
  2. Step 2: Convert to fraction form
    23,812.88/34,982.44 = 34,982.44/x
  3. Step 3: Cross multiply
    23,812.88x = 34,982.44 × 34,982.44
  4. Step 4: Simplify right side
    23,812.88x = 1,223,770,933.44
  5. Step 5: Solve for x
    x = 1,223,770,933.44/23,812.88
  6. Step 6: Final answer
    x = 51,391.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.