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Finding the Third Proportional to 38,902 and 55,050

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Solution

The third proportional to 38,902 and 55,050 is: 77,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902 : 55,050 = 55,050 : x
  2. Step 2: Convert to fraction form
    38,902/55,050 = 55,050/x
  3. Step 3: Cross multiply
    38,902x = 55,050 × 55,050
  4. Step 4: Simplify right side
    38,902x = 3,030,502,500
  5. Step 5: Solve for x
    x = 3,030,502,500/38,902
  6. Step 6: Final answer
    x = 77,900.94

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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.