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Finding the Third Proportional to 23,706.75 and 34,683.75

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Solution

The third proportional to 23,706.75 and 34,683.75 is: 50,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.75 : 34,683.75 = 34,683.75 : x
  2. Step 2: Convert to fraction form
    23,706.75/34,683.75 = 34,683.75/x
  3. Step 3: Cross multiply
    23,706.75x = 34,683.75 × 34,683.75
  4. Step 4: Simplify right side
    23,706.75x = 1,202,962,514.06
  5. Step 5: Solve for x
    x = 1,202,962,514.06/23,706.75
  6. Step 6: Final answer
    x = 50,743.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.