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Finding the Third Proportional to 11,922.75 and 23,545.41

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Solution

The third proportional to 11,922.75 and 23,545.41 is: 46,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.75 : 23,545.41 = 23,545.41 : x
  2. Step 2: Convert to fraction form
    11,922.75/23,545.41 = 23,545.41/x
  3. Step 3: Cross multiply
    11,922.75x = 23,545.41 × 23,545.41
  4. Step 4: Simplify right side
    11,922.75x = 554,386,155.48
  5. Step 5: Solve for x
    x = 554,386,155.48/11,922.75
  6. Step 6: Final answer
    x = 46,498.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.