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Finding the Third Proportional to 16,969 and 36,842

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Solution

The third proportional to 16,969 and 36,842 is: 79,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969 : 36,842 = 36,842 : x
  2. Step 2: Convert to fraction form
    16,969/36,842 = 36,842/x
  3. Step 3: Cross multiply
    16,969x = 36,842 × 36,842
  4. Step 4: Simplify right side
    16,969x = 1,357,332,964
  5. Step 5: Solve for x
    x = 1,357,332,964/16,969
  6. Step 6: Final answer
    x = 79,988.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.