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Finding the Third Proportional to 38,026 and 88,845

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Solution

The third proportional to 38,026 and 88,845 is: 207,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026 : 88,845 = 88,845 : x
  2. Step 2: Convert to fraction form
    38,026/88,845 = 88,845/x
  3. Step 3: Cross multiply
    38,026x = 88,845 × 88,845
  4. Step 4: Simplify right side
    38,026x = 7,893,434,025
  5. Step 5: Solve for x
    x = 7,893,434,025/38,026
  6. Step 6: Final answer
    x = 207,579.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.