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Finding the Third Proportional to 20,271.50 and 30,376.50

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Solution

The third proportional to 20,271.50 and 30,376.50 is: 45,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.50 : 30,376.50 = 30,376.50 : x
  2. Step 2: Convert to fraction form
    20,271.50/30,376.50 = 30,376.50/x
  3. Step 3: Cross multiply
    20,271.50x = 30,376.50 × 30,376.50
  4. Step 4: Simplify right side
    20,271.50x = 922,731,752.25
  5. Step 5: Solve for x
    x = 922,731,752.25/20,271.50
  6. Step 6: Final answer
    x = 45,518.67

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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.