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Finding the Third Proportional to 38,616 and 84,615

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Solution

The third proportional to 38,616 and 84,615 is: 185,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,616 : 84,615 = 84,615 : x
  2. Step 2: Convert to fraction form
    38,616/84,615 = 84,615/x
  3. Step 3: Cross multiply
    38,616x = 84,615 × 84,615
  4. Step 4: Simplify right side
    38,616x = 7,159,698,225
  5. Step 5: Solve for x
    x = 7,159,698,225/38,616
  6. Step 6: Final answer
    x = 185,407.56

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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.