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Finding the Third Proportional to 20,596.50 and 30,823.88

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Solution

The third proportional to 20,596.50 and 30,823.88 is: 46,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.50 : 30,823.88 = 30,823.88 : x
  2. Step 2: Convert to fraction form
    20,596.50/30,823.88 = 30,823.88/x
  3. Step 3: Cross multiply
    20,596.50x = 30,823.88 × 30,823.88
  4. Step 4: Simplify right side
    20,596.50x = 950,111,270.02
  5. Step 5: Solve for x
    x = 950,111,270.02/20,596.50
  6. Step 6: Final answer
    x = 46,129.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.