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Finding the Third Proportional to 35,722 and 53,907

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Solution

The third proportional to 35,722 and 53,907 is: 81,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722 : 53,907 = 53,907 : x
  2. Step 2: Convert to fraction form
    35,722/53,907 = 53,907/x
  3. Step 3: Cross multiply
    35,722x = 53,907 × 53,907
  4. Step 4: Simplify right side
    35,722x = 2,905,964,649
  5. Step 5: Solve for x
    x = 2,905,964,649/35,722
  6. Step 6: Final answer
    x = 81,349.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.