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Finding the Third Proportional to 38,218 and 57,905

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Solution

The third proportional to 38,218 and 57,905 is: 87,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,218 : 57,905 = 57,905 : x
  2. Step 2: Convert to fraction form
    38,218/57,905 = 57,905/x
  3. Step 3: Cross multiply
    38,218x = 57,905 × 57,905
  4. Step 4: Simplify right side
    38,218x = 3,352,989,025
  5. Step 5: Solve for x
    x = 3,352,989,025/38,218
  6. Step 6: Final answer
    x = 87,733.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.