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Finding the Third Proportional to 17,900 and 39,132

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Solution

The third proportional to 17,900 and 39,132 is: 85,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,900 : 39,132 = 39,132 : x
  2. Step 2: Convert to fraction form
    17,900/39,132 = 39,132/x
  3. Step 3: Cross multiply
    17,900x = 39,132 × 39,132
  4. Step 4: Simplify right side
    17,900x = 1,531,313,424
  5. Step 5: Solve for x
    x = 1,531,313,424/17,900
  6. Step 6: Final answer
    x = 85,548.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.