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Finding the Third Proportional to 38,728.13 and 83,652.75

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Solution

The third proportional to 38,728.13 and 83,652.75 is: 180,689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.13 : 83,652.75 = 83,652.75 : x
  2. Step 2: Convert to fraction form
    38,728.13/83,652.75 = 83,652.75/x
  3. Step 3: Cross multiply
    38,728.13x = 83,652.75 × 83,652.75
  4. Step 4: Simplify right side
    38,728.13x = 6,997,782,582.56
  5. Step 5: Solve for x
    x = 6,997,782,582.56/38,728.13
  6. Step 6: Final answer
    x = 180,689.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.