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Finding the Third Proportional to 22,002 and 36,119.50

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Solution

The third proportional to 22,002 and 36,119.50 is: 59,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002 : 36,119.50 = 36,119.50 : x
  2. Step 2: Convert to fraction form
    22,002/36,119.50 = 36,119.50/x
  3. Step 3: Cross multiply
    22,002x = 36,119.50 × 36,119.50
  4. Step 4: Simplify right side
    22,002x = 1,304,618,280.25
  5. Step 5: Solve for x
    x = 1,304,618,280.25/22,002
  6. Step 6: Final answer
    x = 59,295.44

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.