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Finding the Third Proportional to 20,525.63 and 30,742.88

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Solution

The third proportional to 20,525.63 and 30,742.88 is: 46,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.63 : 30,742.88 = 30,742.88 : x
  2. Step 2: Convert to fraction form
    20,525.63/30,742.88 = 30,742.88/x
  3. Step 3: Cross multiply
    20,525.63x = 30,742.88 × 30,742.88
  4. Step 4: Simplify right side
    20,525.63x = 945,124,363.27
  5. Step 5: Solve for x
    x = 945,124,363.27/20,525.63
  6. Step 6: Final answer
    x = 46,046.07

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