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Finding the Third Proportional to 38,256.05 and 83,288.25

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Solution

The third proportional to 38,256.05 and 83,288.25 is: 181,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256.05 : 83,288.25 = 83,288.25 : x
  2. Step 2: Convert to fraction form
    38,256.05/83,288.25 = 83,288.25/x
  3. Step 3: Cross multiply
    38,256.05x = 83,288.25 × 83,288.25
  4. Step 4: Simplify right side
    38,256.05x = 6,936,932,588.06
  5. Step 5: Solve for x
    x = 6,936,932,588.06/38,256.05
  6. Step 6: Final answer
    x = 181,329.05

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