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Finding the Third Proportional to 38,903 and 55,051.25

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Solution

The third proportional to 38,903 and 55,051.25 is: 77,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,903 : 55,051.25 = 55,051.25 : x
  2. Step 2: Convert to fraction form
    38,903/55,051.25 = 55,051.25/x
  3. Step 3: Cross multiply
    38,903x = 55,051.25 × 55,051.25
  4. Step 4: Simplify right side
    38,903x = 3,030,640,126.56
  5. Step 5: Solve for x
    x = 3,030,640,126.56/38,903
  6. Step 6: Final answer
    x = 77,902.48

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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.