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Finding the Third Proportional to 20,229.75 and 30,526.88

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Solution

The third proportional to 20,229.75 and 30,526.88 is: 46,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.75 : 30,526.88 = 30,526.88 : x
  2. Step 2: Convert to fraction form
    20,229.75/30,526.88 = 30,526.88/x
  3. Step 3: Cross multiply
    20,229.75x = 30,526.88 × 30,526.88
  4. Step 4: Simplify right side
    20,229.75x = 931,890,097.27
  5. Step 5: Solve for x
    x = 931,890,097.27/20,229.75
  6. Step 6: Final answer
    x = 46,065.33

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