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Finding the Third Proportional to 18,005.63 and 38,676.38

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Solution

The third proportional to 18,005.63 and 38,676.38 is: 83,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,005.63 : 38,676.38 = 38,676.38 : x
  2. Step 2: Convert to fraction form
    18,005.63/38,676.38 = 38,676.38/x
  3. Step 3: Cross multiply
    18,005.63x = 38,676.38 × 38,676.38
  4. Step 4: Simplify right side
    18,005.63x = 1,495,861,983.14
  5. Step 5: Solve for x
    x = 1,495,861,983.14/18,005.63
  6. Step 6: Final answer
    x = 83,077.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.