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Finding the Third Proportional to 19,692.28 and 43,211.53

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Solution

The third proportional to 19,692.28 and 43,211.53 is: 94,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.28 : 43,211.53 = 43,211.53 : x
  2. Step 2: Convert to fraction form
    19,692.28/43,211.53 = 43,211.53/x
  3. Step 3: Cross multiply
    19,692.28x = 43,211.53 × 43,211.53
  4. Step 4: Simplify right side
    19,692.28x = 1,867,236,432.97
  5. Step 5: Solve for x
    x = 1,867,236,432.97/19,692.28
  6. Step 6: Final answer
    x = 94,820.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.