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Finding the Third Proportional to 17,232.75 and 19,784.25

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Solution

The third proportional to 17,232.75 and 19,784.25 is: 22,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232.75 : 19,784.25 = 19,784.25 : x
  2. Step 2: Convert to fraction form
    17,232.75/19,784.25 = 19,784.25/x
  3. Step 3: Cross multiply
    17,232.75x = 19,784.25 × 19,784.25
  4. Step 4: Simplify right side
    17,232.75x = 391,416,548.06
  5. Step 5: Solve for x
    x = 391,416,548.06/17,232.75
  6. Step 6: Final answer
    x = 22,713.53

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.