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Finding the Third Proportional to 38,173 and 57,677

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Solution

The third proportional to 38,173 and 57,677 is: 87,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173 : 57,677 = 57,677 : x
  2. Step 2: Convert to fraction form
    38,173/57,677 = 57,677/x
  3. Step 3: Cross multiply
    38,173x = 57,677 × 57,677
  4. Step 4: Simplify right side
    38,173x = 3,326,636,329
  5. Step 5: Solve for x
    x = 3,326,636,329/38,173
  6. Step 6: Final answer
    x = 87,146.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.