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Finding the Third Proportional to 38,077 and 55,817

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Solution

The third proportional to 38,077 and 55,817 is: 81,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,077 : 55,817 = 55,817 : x
  2. Step 2: Convert to fraction form
    38,077/55,817 = 55,817/x
  3. Step 3: Cross multiply
    38,077x = 55,817 × 55,817
  4. Step 4: Simplify right side
    38,077x = 3,115,537,489
  5. Step 5: Solve for x
    x = 3,115,537,489/38,077
  6. Step 6: Final answer
    x = 81,822.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.