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Finding the Third Proportional to 38,244 and 83,832

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Solution

The third proportional to 38,244 and 83,832 is: 183,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,244 : 83,832 = 83,832 : x
  2. Step 2: Convert to fraction form
    38,244/83,832 = 83,832/x
  3. Step 3: Cross multiply
    38,244x = 83,832 × 83,832
  4. Step 4: Simplify right side
    38,244x = 7,027,804,224
  5. Step 5: Solve for x
    x = 7,027,804,224/38,244
  6. Step 6: Final answer
    x = 183,762.27

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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.