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Finding the Third Proportional to 38,576 and 84,361

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Solution

The third proportional to 38,576 and 84,361 is: 184,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576 : 84,361 = 84,361 : x
  2. Step 2: Convert to fraction form
    38,576/84,361 = 84,361/x
  3. Step 3: Cross multiply
    38,576x = 84,361 × 84,361
  4. Step 4: Simplify right side
    38,576x = 7,116,778,321
  5. Step 5: Solve for x
    x = 7,116,778,321/38,576
  6. Step 6: Final answer
    x = 184,487.20

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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.