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Finding the Third Proportional to 29,714 and 63,244

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Solution

The third proportional to 29,714 and 63,244 is: 134,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714 : 63,244 = 63,244 : x
  2. Step 2: Convert to fraction form
    29,714/63,244 = 63,244/x
  3. Step 3: Cross multiply
    29,714x = 63,244 × 63,244
  4. Step 4: Simplify right side
    29,714x = 3,999,803,536
  5. Step 5: Solve for x
    x = 3,999,803,536/29,714
  6. Step 6: Final answer
    x = 134,610.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.