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Finding the Third Proportional to 38,154 and 82,875

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Solution

The third proportional to 38,154 and 82,875 is: 180,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154 : 82,875 = 82,875 : x
  2. Step 2: Convert to fraction form
    38,154/82,875 = 82,875/x
  3. Step 3: Cross multiply
    38,154x = 82,875 × 82,875
  4. Step 4: Simplify right side
    38,154x = 6,868,265,625
  5. Step 5: Solve for x
    x = 6,868,265,625/38,154
  6. Step 6: Final answer
    x = 180,014.30

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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.