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Finding the Third Proportional to 38,944 and 55,492

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Solution

The third proportional to 38,944 and 55,492 is: 79,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,944 : 55,492 = 55,492 : x
  2. Step 2: Convert to fraction form
    38,944/55,492 = 55,492/x
  3. Step 3: Cross multiply
    38,944x = 55,492 × 55,492
  4. Step 4: Simplify right side
    38,944x = 3,079,362,064
  5. Step 5: Solve for x
    x = 3,079,362,064/38,944
  6. Step 6: Final answer
    x = 79,071.54

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.