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Finding the Third Proportional to 29,694.75 and 64,032

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Solution

The third proportional to 29,694.75 and 64,032 is: 138,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694.75 : 64,032 = 64,032 : x
  2. Step 2: Convert to fraction form
    29,694.75/64,032 = 64,032/x
  3. Step 3: Cross multiply
    29,694.75x = 64,032 × 64,032
  4. Step 4: Simplify right side
    29,694.75x = 4,100,097,024
  5. Step 5: Solve for x
    x = 4,100,097,024/29,694.75
  6. Step 6: Final answer
    x = 138,074.81

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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.