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Finding the Third Proportional to 38,381.25 and 84,174

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Solution

The third proportional to 38,381.25 and 84,174 is: 184,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,381.25 : 84,174 = 84,174 : x
  2. Step 2: Convert to fraction form
    38,381.25/84,174 = 84,174/x
  3. Step 3: Cross multiply
    38,381.25x = 84,174 × 84,174
  4. Step 4: Simplify right side
    38,381.25x = 7,085,262,276
  5. Step 5: Solve for x
    x = 7,085,262,276/38,381.25
  6. Step 6: Final answer
    x = 184,602.18

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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.