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Finding the Third Proportional to 10,478.25 and 22,122

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Solution

The third proportional to 10,478.25 and 22,122 is: 46,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.25 : 22,122 = 22,122 : x
  2. Step 2: Convert to fraction form
    10,478.25/22,122 = 22,122/x
  3. Step 3: Cross multiply
    10,478.25x = 22,122 × 22,122
  4. Step 4: Simplify right side
    10,478.25x = 489,382,884
  5. Step 5: Solve for x
    x = 489,382,884/10,478.25
  6. Step 6: Final answer
    x = 46,704.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.