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Finding the Third Proportional to 22,175 and 49,271

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Solution

The third proportional to 22,175 and 49,271 is: 109,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175 : 49,271 = 49,271 : x
  2. Step 2: Convert to fraction form
    22,175/49,271 = 49,271/x
  3. Step 3: Cross multiply
    22,175x = 49,271 × 49,271
  4. Step 4: Simplify right side
    22,175x = 2,427,631,441
  5. Step 5: Solve for x
    x = 2,427,631,441/22,175
  6. Step 6: Final answer
    x = 109,476.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.