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Finding the Third Proportional to 38,240 and 83,536

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Solution

The third proportional to 38,240 and 83,536 is: 182,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,240 : 83,536 = 83,536 : x
  2. Step 2: Convert to fraction form
    38,240/83,536 = 83,536/x
  3. Step 3: Cross multiply
    38,240x = 83,536 × 83,536
  4. Step 4: Simplify right side
    38,240x = 6,978,263,296
  5. Step 5: Solve for x
    x = 6,978,263,296/38,240
  6. Step 6: Final answer
    x = 182,485.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.