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Finding the Third Proportional to 29,704 and 64,256

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Solution

The third proportional to 29,704 and 64,256 is: 138,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,704 : 64,256 = 64,256 : x
  2. Step 2: Convert to fraction form
    29,704/64,256 = 64,256/x
  3. Step 3: Cross multiply
    29,704x = 64,256 × 64,256
  4. Step 4: Simplify right side
    29,704x = 4,128,833,536
  5. Step 5: Solve for x
    x = 4,128,833,536/29,704
  6. Step 6: Final answer
    x = 138,999.24

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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.