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Finding the Third Proportional to 38,516 and 83,350

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Solution

The third proportional to 38,516 and 83,350 is: 180,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516 : 83,350 = 83,350 : x
  2. Step 2: Convert to fraction form
    38,516/83,350 = 83,350/x
  3. Step 3: Cross multiply
    38,516x = 83,350 × 83,350
  4. Step 4: Simplify right side
    38,516x = 6,947,222,500
  5. Step 5: Solve for x
    x = 6,947,222,500/38,516
  6. Step 6: Final answer
    x = 180,372.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.