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Finding the Third Proportional to 38,157 and 82,878.84

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Solution

The third proportional to 38,157 and 82,878.84 is: 180,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,157 : 82,878.84 = 82,878.84 : x
  2. Step 2: Convert to fraction form
    38,157/82,878.84 = 82,878.84/x
  3. Step 3: Cross multiply
    38,157x = 82,878.84 × 82,878.84
  4. Step 4: Simplify right side
    38,157x = 6,868,902,741.34
  5. Step 5: Solve for x
    x = 6,868,902,741.34/38,157
  6. Step 6: Final answer
    x = 180,016.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.