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Finding the Third Proportional to 19,962 and 22,027.50

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Solution

The third proportional to 19,962 and 22,027.50 is: 24,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,962 : 22,027.50 = 22,027.50 : x
  2. Step 2: Convert to fraction form
    19,962/22,027.50 = 22,027.50/x
  3. Step 3: Cross multiply
    19,962x = 22,027.50 × 22,027.50
  4. Step 4: Simplify right side
    19,962x = 485,210,756.25
  5. Step 5: Solve for x
    x = 485,210,756.25/19,962
  6. Step 6: Final answer
    x = 24,306.72

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.