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Finding the Third Proportional to 17,070 and 36,774

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Solution

The third proportional to 17,070 and 36,774 is: 79,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,070 : 36,774 = 36,774 : x
  2. Step 2: Convert to fraction form
    17,070/36,774 = 36,774/x
  3. Step 3: Cross multiply
    17,070x = 36,774 × 36,774
  4. Step 4: Simplify right side
    17,070x = 1,352,327,076
  5. Step 5: Solve for x
    x = 1,352,327,076/17,070
  6. Step 6: Final answer
    x = 79,222.44

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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.