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Finding the Third Proportional to 16,770 and 39,165

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Solution

The third proportional to 16,770 and 39,165 is: 91,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770 : 39,165 = 39,165 : x
  2. Step 2: Convert to fraction form
    16,770/39,165 = 39,165/x
  3. Step 3: Cross multiply
    16,770x = 39,165 × 39,165
  4. Step 4: Simplify right side
    16,770x = 1,533,897,225
  5. Step 5: Solve for x
    x = 1,533,897,225/16,770
  6. Step 6: Final answer
    x = 91,466.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.