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Finding the Third Proportional to 17,550 and 22,767.75

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Solution

The third proportional to 17,550 and 22,767.75 is: 29,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,550 : 22,767.75 = 22,767.75 : x
  2. Step 2: Convert to fraction form
    17,550/22,767.75 = 22,767.75/x
  3. Step 3: Cross multiply
    17,550x = 22,767.75 × 22,767.75
  4. Step 4: Simplify right side
    17,550x = 518,370,440.06
  5. Step 5: Solve for x
    x = 518,370,440.06/17,550
  6. Step 6: Final answer
    x = 29,536.78

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.