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Finding the Third Proportional to 21,670 and 32,173

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Solution

The third proportional to 21,670 and 32,173 is: 47,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670 : 32,173 = 32,173 : x
  2. Step 2: Convert to fraction form
    21,670/32,173 = 32,173/x
  3. Step 3: Cross multiply
    21,670x = 32,173 × 32,173
  4. Step 4: Simplify right side
    21,670x = 1,035,101,929
  5. Step 5: Solve for x
    x = 1,035,101,929/21,670
  6. Step 6: Final answer
    x = 47,766.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.