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Finding the Third Proportional to 5,662 and 12,438.50

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Solution

The third proportional to 5,662 and 12,438.50 is: 27,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662 : 12,438.50 = 12,438.50 : x
  2. Step 2: Convert to fraction form
    5,662/12,438.50 = 12,438.50/x
  3. Step 3: Cross multiply
    5,662x = 12,438.50 × 12,438.50
  4. Step 4: Simplify right side
    5,662x = 154,716,282.25
  5. Step 5: Solve for x
    x = 154,716,282.25/5,662
  6. Step 6: Final answer
    x = 27,325.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.