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Finding the Third Proportional to 36,825.75 and 79,287.75

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Solution

The third proportional to 36,825.75 and 79,287.75 is: 170,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,825.75 : 79,287.75 = 79,287.75 : x
  2. Step 2: Convert to fraction form
    36,825.75/79,287.75 = 79,287.75/x
  3. Step 3: Cross multiply
    36,825.75x = 79,287.75 × 79,287.75
  4. Step 4: Simplify right side
    36,825.75x = 6,286,547,300.06
  5. Step 5: Solve for x
    x = 6,286,547,300.06/36,825.75
  6. Step 6: Final answer
    x = 170,710.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.