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Finding the Third Proportional to 16,642 and 35,732

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Solution

The third proportional to 16,642 and 35,732 is: 76,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642 : 35,732 = 35,732 : x
  2. Step 2: Convert to fraction form
    16,642/35,732 = 35,732/x
  3. Step 3: Cross multiply
    16,642x = 35,732 × 35,732
  4. Step 4: Simplify right side
    16,642x = 1,276,775,824
  5. Step 5: Solve for x
    x = 1,276,775,824/16,642
  6. Step 6: Final answer
    x = 76,720.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.