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Finding the Third Proportional to 11,292.75 and 16,922.25

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Solution

The third proportional to 11,292.75 and 16,922.25 is: 25,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292.75 : 16,922.25 = 16,922.25 : x
  2. Step 2: Convert to fraction form
    11,292.75/16,922.25 = 16,922.25/x
  3. Step 3: Cross multiply
    11,292.75x = 16,922.25 × 16,922.25
  4. Step 4: Simplify right side
    11,292.75x = 286,362,545.06
  5. Step 5: Solve for x
    x = 286,362,545.06/11,292.75
  6. Step 6: Final answer
    x = 25,358.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.