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Finding the Third Proportional to 35,146 and 55,849

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Solution

The third proportional to 35,146 and 55,849 is: 88,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,146 : 55,849 = 55,849 : x
  2. Step 2: Convert to fraction form
    35,146/55,849 = 55,849/x
  3. Step 3: Cross multiply
    35,146x = 55,849 × 55,849
  4. Step 4: Simplify right side
    35,146x = 3,119,110,801
  5. Step 5: Solve for x
    x = 3,119,110,801/35,146
  6. Step 6: Final answer
    x = 88,747.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.