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Finding the Third Proportional to 20,563.75 and 42,742.25

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Solution

The third proportional to 20,563.75 and 42,742.25 is: 88,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.75 : 42,742.25 = 42,742.25 : x
  2. Step 2: Convert to fraction form
    20,563.75/42,742.25 = 42,742.25/x
  3. Step 3: Cross multiply
    20,563.75x = 42,742.25 × 42,742.25
  4. Step 4: Simplify right side
    20,563.75x = 1,826,899,935.06
  5. Step 5: Solve for x
    x = 1,826,899,935.06/20,563.75
  6. Step 6: Final answer
    x = 88,840.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.