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Finding the Third Proportional to 35,878 and 55,667

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Solution

The third proportional to 35,878 and 55,667 is: 86,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878 : 55,667 = 55,667 : x
  2. Step 2: Convert to fraction form
    35,878/55,667 = 55,667/x
  3. Step 3: Cross multiply
    35,878x = 55,667 × 55,667
  4. Step 4: Simplify right side
    35,878x = 3,098,814,889
  5. Step 5: Solve for x
    x = 3,098,814,889/35,878
  6. Step 6: Final answer
    x = 86,370.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.