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Finding the Third Proportional to 17,024 and 28,134.75

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Solution

The third proportional to 17,024 and 28,134.75 is: 46,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024 : 28,134.75 = 28,134.75 : x
  2. Step 2: Convert to fraction form
    17,024/28,134.75 = 28,134.75/x
  3. Step 3: Cross multiply
    17,024x = 28,134.75 × 28,134.75
  4. Step 4: Simplify right side
    17,024x = 791,564,157.56
  5. Step 5: Solve for x
    x = 791,564,157.56/17,024
  6. Step 6: Final answer
    x = 46,496.95

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.