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Finding the Third Proportional to 38,236.50 and 84,037.50

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Solution

The third proportional to 38,236.50 and 84,037.50 is: 184,700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,236.50 : 84,037.50 = 84,037.50 : x
  2. Step 2: Convert to fraction form
    38,236.50/84,037.50 = 84,037.50/x
  3. Step 3: Cross multiply
    38,236.50x = 84,037.50 × 84,037.50
  4. Step 4: Simplify right side
    38,236.50x = 7,062,301,406.25
  5. Step 5: Solve for x
    x = 7,062,301,406.25/38,236.50
  6. Step 6: Final answer
    x = 184,700.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.