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Finding the Third Proportional to 20,211.75 and 30,596.63

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Solution

The third proportional to 20,211.75 and 30,596.63 is: 46,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.75 : 30,596.63 = 30,596.63 : x
  2. Step 2: Convert to fraction form
    20,211.75/30,596.63 = 30,596.63/x
  3. Step 3: Cross multiply
    20,211.75x = 30,596.63 × 30,596.63
  4. Step 4: Simplify right side
    20,211.75x = 936,153,461.39
  5. Step 5: Solve for x
    x = 936,153,461.39/20,211.75
  6. Step 6: Final answer
    x = 46,317.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.