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Finding the Third Proportional to 35,840 and 54,996

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Solution

The third proportional to 35,840 and 54,996 is: 84,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840 : 54,996 = 54,996 : x
  2. Step 2: Convert to fraction form
    35,840/54,996 = 54,996/x
  3. Step 3: Cross multiply
    35,840x = 54,996 × 54,996
  4. Step 4: Simplify right side
    35,840x = 3,024,560,016
  5. Step 5: Solve for x
    x = 3,024,560,016/35,840
  6. Step 6: Final answer
    x = 84,390.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.