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Finding the Third Proportional to 12,546 and 29,714

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Solution

The third proportional to 12,546 and 29,714 is: 70,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 29,714 = 29,714 : x
  2. Step 2: Convert to fraction form
    12,546/29,714 = 29,714/x
  3. Step 3: Cross multiply
    12,546x = 29,714 × 29,714
  4. Step 4: Simplify right side
    12,546x = 882,921,796
  5. Step 5: Solve for x
    x = 882,921,796/12,546
  6. Step 6: Final answer
    x = 70,374.76

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.