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Finding the Third Proportional to 38,142.75 and 55,482.75

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Solution

The third proportional to 38,142.75 and 55,482.75 is: 80,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,142.75 : 55,482.75 = 55,482.75 : x
  2. Step 2: Convert to fraction form
    38,142.75/55,482.75 = 55,482.75/x
  3. Step 3: Cross multiply
    38,142.75x = 55,482.75 × 55,482.75
  4. Step 4: Simplify right side
    38,142.75x = 3,078,335,547.56
  5. Step 5: Solve for x
    x = 3,078,335,547.56/38,142.75
  6. Step 6: Final answer
    x = 80,705.65

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.