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Finding the Third Proportional to 38,022.75 and 57,341.25

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Solution

The third proportional to 38,022.75 and 57,341.25 is: 86,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022.75 : 57,341.25 = 57,341.25 : x
  2. Step 2: Convert to fraction form
    38,022.75/57,341.25 = 57,341.25/x
  3. Step 3: Cross multiply
    38,022.75x = 57,341.25 × 57,341.25
  4. Step 4: Simplify right side
    38,022.75x = 3,288,018,951.56
  5. Step 5: Solve for x
    x = 3,288,018,951.56/38,022.75
  6. Step 6: Final answer
    x = 86,475.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.