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Finding the Third Proportional to 38,106 and 57,918

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Solution

The third proportional to 38,106 and 57,918 is: 88,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106 : 57,918 = 57,918 : x
  2. Step 2: Convert to fraction form
    38,106/57,918 = 57,918/x
  3. Step 3: Cross multiply
    38,106x = 57,918 × 57,918
  4. Step 4: Simplify right side
    38,106x = 3,354,494,724
  5. Step 5: Solve for x
    x = 3,354,494,724/38,106
  6. Step 6: Final answer
    x = 88,030.62

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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.