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Finding the Third Proportional to 17,232.75 and 22,416.75

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Solution

The third proportional to 17,232.75 and 22,416.75 is: 29,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232.75 : 22,416.75 = 22,416.75 : x
  2. Step 2: Convert to fraction form
    17,232.75/22,416.75 = 22,416.75/x
  3. Step 3: Cross multiply
    17,232.75x = 22,416.75 × 22,416.75
  4. Step 4: Simplify right side
    17,232.75x = 502,510,680.56
  5. Step 5: Solve for x
    x = 502,510,680.56/17,232.75
  6. Step 6: Final answer
    x = 29,160.21

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Why These Related Problems?

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