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Finding the Third Proportional to 10,066 and 22,126

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Solution

The third proportional to 10,066 and 22,126 is: 48,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066 : 22,126 = 22,126 : x
  2. Step 2: Convert to fraction form
    10,066/22,126 = 22,126/x
  3. Step 3: Cross multiply
    10,066x = 22,126 × 22,126
  4. Step 4: Simplify right side
    10,066x = 489,559,876
  5. Step 5: Solve for x
    x = 489,559,876/10,066
  6. Step 6: Final answer
    x = 48,635.00

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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.