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Finding the Third Proportional to 35,345 and 54,962

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Solution

The third proportional to 35,345 and 54,962 is: 85,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,345 : 54,962 = 54,962 : x
  2. Step 2: Convert to fraction form
    35,345/54,962 = 54,962/x
  3. Step 3: Cross multiply
    35,345x = 54,962 × 54,962
  4. Step 4: Simplify right side
    35,345x = 3,020,821,444
  5. Step 5: Solve for x
    x = 3,020,821,444/35,345
  6. Step 6: Final answer
    x = 85,466.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.