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Finding the Third Proportional to 38,633.63 and 81,487.13

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Solution

The third proportional to 38,633.63 and 81,487.13 is: 171,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,633.63 : 81,487.13 = 81,487.13 : x
  2. Step 2: Convert to fraction form
    38,633.63/81,487.13 = 81,487.13/x
  3. Step 3: Cross multiply
    38,633.63x = 81,487.13 × 81,487.13
  4. Step 4: Simplify right side
    38,633.63x = 6,640,151,540.77
  5. Step 5: Solve for x
    x = 6,640,151,540.77/38,633.63
  6. Step 6: Final answer
    x = 171,874.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.