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Finding the Third Proportional to 38,576 and 84,538

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Solution

The third proportional to 38,576 and 84,538 is: 185,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576 : 84,538 = 84,538 : x
  2. Step 2: Convert to fraction form
    38,576/84,538 = 84,538/x
  3. Step 3: Cross multiply
    38,576x = 84,538 × 84,538
  4. Step 4: Simplify right side
    38,576x = 7,146,673,444
  5. Step 5: Solve for x
    x = 7,146,673,444/38,576
  6. Step 6: Final answer
    x = 185,262.17

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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.