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Finding the Third Proportional to 20,730.94 and 42,692.06

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Solution

The third proportional to 20,730.94 and 42,692.06 is: 87,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.94 : 42,692.06 = 42,692.06 : x
  2. Step 2: Convert to fraction form
    20,730.94/42,692.06 = 42,692.06/x
  3. Step 3: Cross multiply
    20,730.94x = 42,692.06 × 42,692.06
  4. Step 4: Simplify right side
    20,730.94x = 1,822,612,200.50
  5. Step 5: Solve for x
    x = 1,822,612,200.50/20,730.94
  6. Step 6: Final answer
    x = 87,917.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.