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Finding the Third Proportional to 38,235 and 84,030

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Solution

The third proportional to 38,235 and 84,030 is: 184,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,235 : 84,030 = 84,030 : x
  2. Step 2: Convert to fraction form
    38,235/84,030 = 84,030/x
  3. Step 3: Cross multiply
    38,235x = 84,030 × 84,030
  4. Step 4: Simplify right side
    38,235x = 7,061,040,900
  5. Step 5: Solve for x
    x = 7,061,040,900/38,235
  6. Step 6: Final answer
    x = 184,674.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.