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Finding the Third Proportional to 34,644 and 53,991

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Solution

The third proportional to 34,644 and 53,991 is: 84,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,644 : 53,991 = 53,991 : x
  2. Step 2: Convert to fraction form
    34,644/53,991 = 53,991/x
  3. Step 3: Cross multiply
    34,644x = 53,991 × 53,991
  4. Step 4: Simplify right side
    34,644x = 2,915,028,081
  5. Step 5: Solve for x
    x = 2,915,028,081/34,644
  6. Step 6: Final answer
    x = 84,142.36

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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.