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Finding the Third Proportional to 38,862.75 and 80,489.63

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Solution

The third proportional to 38,862.75 and 80,489.63 is: 166,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862.75 : 80,489.63 = 80,489.63 : x
  2. Step 2: Convert to fraction form
    38,862.75/80,489.63 = 80,489.63/x
  3. Step 3: Cross multiply
    38,862.75x = 80,489.63 × 80,489.63
  4. Step 4: Simplify right side
    38,862.75x = 6,478,579,732.64
  5. Step 5: Solve for x
    x = 6,478,579,732.64/38,862.75
  6. Step 6: Final answer
    x = 166,704.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.