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Finding the Third Proportional to 38,126 and 55,002

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Solution

The third proportional to 38,126 and 55,002 is: 79,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,126 : 55,002 = 55,002 : x
  2. Step 2: Convert to fraction form
    38,126/55,002 = 55,002/x
  3. Step 3: Cross multiply
    38,126x = 55,002 × 55,002
  4. Step 4: Simplify right side
    38,126x = 3,025,220,004
  5. Step 5: Solve for x
    x = 3,025,220,004/38,126
  6. Step 6: Final answer
    x = 79,347.95

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.