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Finding the Third Proportional to 29,958 and 64,824

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Solution

The third proportional to 29,958 and 64,824 is: 140,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,958 : 64,824 = 64,824 : x
  2. Step 2: Convert to fraction form
    29,958/64,824 = 64,824/x
  3. Step 3: Cross multiply
    29,958x = 64,824 × 64,824
  4. Step 4: Simplify right side
    29,958x = 4,202,150,976
  5. Step 5: Solve for x
    x = 4,202,150,976/29,958
  6. Step 6: Final answer
    x = 140,268.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.