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Finding the Third Proportional to 17,904 and 38,820

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Solution

The third proportional to 17,904 and 38,820 is: 84,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904 : 38,820 = 38,820 : x
  2. Step 2: Convert to fraction form
    17,904/38,820 = 38,820/x
  3. Step 3: Cross multiply
    17,904x = 38,820 × 38,820
  4. Step 4: Simplify right side
    17,904x = 1,506,992,400
  5. Step 5: Solve for x
    x = 1,506,992,400/17,904
  6. Step 6: Final answer
    x = 84,170.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.