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Finding the Third Proportional to 16,902 and 40,668

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Solution

The third proportional to 16,902 and 40,668 is: 97,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902 : 40,668 = 40,668 : x
  2. Step 2: Convert to fraction form
    16,902/40,668 = 40,668/x
  3. Step 3: Cross multiply
    16,902x = 40,668 × 40,668
  4. Step 4: Simplify right side
    16,902x = 1,653,886,224
  5. Step 5: Solve for x
    x = 1,653,886,224/16,902
  6. Step 6: Final answer
    x = 97,851.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.