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Finding the Third Proportional to 16,670 and 35,212

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Solution

The third proportional to 16,670 and 35,212 is: 74,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,670 : 35,212 = 35,212 : x
  2. Step 2: Convert to fraction form
    16,670/35,212 = 35,212/x
  3. Step 3: Cross multiply
    16,670x = 35,212 × 35,212
  4. Step 4: Simplify right side
    16,670x = 1,239,884,944
  5. Step 5: Solve for x
    x = 1,239,884,944/16,670
  6. Step 6: Final answer
    x = 74,378.22

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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.