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Finding the Third Proportional to 38,884.50 and 83,295

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Solution

The third proportional to 38,884.50 and 83,295 is: 178,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884.50 : 83,295 = 83,295 : x
  2. Step 2: Convert to fraction form
    38,884.50/83,295 = 83,295/x
  3. Step 3: Cross multiply
    38,884.50x = 83,295 × 83,295
  4. Step 4: Simplify right side
    38,884.50x = 6,938,057,025
  5. Step 5: Solve for x
    x = 6,938,057,025/38,884.50
  6. Step 6: Final answer
    x = 178,427.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.