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Finding the Third Proportional to 38,301 and 55,164

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Solution

The third proportional to 38,301 and 55,164 is: 79,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301 : 55,164 = 55,164 : x
  2. Step 2: Convert to fraction form
    38,301/55,164 = 55,164/x
  3. Step 3: Cross multiply
    38,301x = 55,164 × 55,164
  4. Step 4: Simplify right side
    38,301x = 3,043,066,896
  5. Step 5: Solve for x
    x = 3,043,066,896/38,301
  6. Step 6: Final answer
    x = 79,451.37

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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.