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Finding the Third Proportional to 15,946 and 33,714

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Solution

The third proportional to 15,946 and 33,714 is: 71,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946 : 33,714 = 33,714 : x
  2. Step 2: Convert to fraction form
    15,946/33,714 = 33,714/x
  3. Step 3: Cross multiply
    15,946x = 33,714 × 33,714
  4. Step 4: Simplify right side
    15,946x = 1,136,633,796
  5. Step 5: Solve for x
    x = 1,136,633,796/15,946
  6. Step 6: Final answer
    x = 71,280.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.