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Finding the Third Proportional to 17,985 and 36,683

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Solution

The third proportional to 17,985 and 36,683 is: 74,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985 : 36,683 = 36,683 : x
  2. Step 2: Convert to fraction form
    17,985/36,683 = 36,683/x
  3. Step 3: Cross multiply
    17,985x = 36,683 × 36,683
  4. Step 4: Simplify right side
    17,985x = 1,345,642,489
  5. Step 5: Solve for x
    x = 1,345,642,489/17,985
  6. Step 6: Final answer
    x = 74,820.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.