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Finding the Third Proportional to 20,811 and 44,947.50

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Solution

The third proportional to 20,811 and 44,947.50 is: 97,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811 : 44,947.50 = 44,947.50 : x
  2. Step 2: Convert to fraction form
    20,811/44,947.50 = 44,947.50/x
  3. Step 3: Cross multiply
    20,811x = 44,947.50 × 44,947.50
  4. Step 4: Simplify right side
    20,811x = 2,020,277,756.25
  5. Step 5: Solve for x
    x = 2,020,277,756.25/20,811
  6. Step 6: Final answer
    x = 97,077.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.