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Finding the Third Proportional to 17,475.75 and 35,695.69

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Solution

The third proportional to 17,475.75 and 35,695.69 is: 72,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475.75 : 35,695.69 = 35,695.69 : x
  2. Step 2: Convert to fraction form
    17,475.75/35,695.69 = 35,695.69/x
  3. Step 3: Cross multiply
    17,475.75x = 35,695.69 × 35,695.69
  4. Step 4: Simplify right side
    17,475.75x = 1,274,182,106.10
  5. Step 5: Solve for x
    x = 1,274,182,106.10/17,475.75
  6. Step 6: Final answer
    x = 72,911.44

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.