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Finding the Third Proportional to 38,900 and 55,047

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Solution

The third proportional to 38,900 and 55,047 is: 77,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900 : 55,047 = 55,047 : x
  2. Step 2: Convert to fraction form
    38,900/55,047 = 55,047/x
  3. Step 3: Cross multiply
    38,900x = 55,047 × 55,047
  4. Step 4: Simplify right side
    38,900x = 3,030,172,209
  5. Step 5: Solve for x
    x = 3,030,172,209/38,900
  6. Step 6: Final answer
    x = 77,896.46

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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.