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Finding the Third Proportional to 15,629 and 33,718

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Solution

The third proportional to 15,629 and 33,718 is: 72,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,629 : 33,718 = 33,718 : x
  2. Step 2: Convert to fraction form
    15,629/33,718 = 33,718/x
  3. Step 3: Cross multiply
    15,629x = 33,718 × 33,718
  4. Step 4: Simplify right side
    15,629x = 1,136,903,524
  5. Step 5: Solve for x
    x = 1,136,903,524/15,629
  6. Step 6: Final answer
    x = 72,743.20

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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.