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Finding the Third Proportional to 17,984.63 and 36,683.25

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Solution

The third proportional to 17,984.63 and 36,683.25 is: 74,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.63 : 36,683.25 = 36,683.25 : x
  2. Step 2: Convert to fraction form
    17,984.63/36,683.25 = 36,683.25/x
  3. Step 3: Cross multiply
    17,984.63x = 36,683.25 × 36,683.25
  4. Step 4: Simplify right side
    17,984.63x = 1,345,660,830.56
  5. Step 5: Solve for x
    x = 1,345,660,830.56/17,984.63
  6. Step 6: Final answer
    x = 74,822.85

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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.