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Finding the Third Proportional to 10,206 and 22,480

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Solution

The third proportional to 10,206 and 22,480 is: 49,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 22,480 = 22,480 : x
  2. Step 2: Convert to fraction form
    10,206/22,480 = 22,480/x
  3. Step 3: Cross multiply
    10,206x = 22,480 × 22,480
  4. Step 4: Simplify right side
    10,206x = 505,350,400
  5. Step 5: Solve for x
    x = 505,350,400/10,206
  6. Step 6: Final answer
    x = 49,515.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.