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Finding the Third Proportional to 38,296 and 83,720

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Solution

The third proportional to 38,296 and 83,720 is: 183,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296 : 83,720 = 83,720 : x
  2. Step 2: Convert to fraction form
    38,296/83,720 = 83,720/x
  3. Step 3: Cross multiply
    38,296x = 83,720 × 83,720
  4. Step 4: Simplify right side
    38,296x = 7,009,038,400
  5. Step 5: Solve for x
    x = 7,009,038,400/38,296
  6. Step 6: Final answer
    x = 183,022.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.