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Finding the Third Proportional to 10,236.38 and 22,325.63

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Solution

The third proportional to 10,236.38 and 22,325.63 is: 48,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.38 : 22,325.63 = 22,325.63 : x
  2. Step 2: Convert to fraction form
    10,236.38/22,325.63 = 22,325.63/x
  3. Step 3: Cross multiply
    10,236.38x = 22,325.63 × 22,325.63
  4. Step 4: Simplify right side
    10,236.38x = 498,433,531.64
  5. Step 5: Solve for x
    x = 498,433,531.64/10,236.38
  6. Step 6: Final answer
    x = 48,692.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.