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Finding the Third Proportional to 22,110 and 46,271

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Solution

The third proportional to 22,110 and 46,271 is: 96,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,110 : 46,271 = 46,271 : x
  2. Step 2: Convert to fraction form
    22,110/46,271 = 46,271/x
  3. Step 3: Cross multiply
    22,110x = 46,271 × 46,271
  4. Step 4: Simplify right side
    22,110x = 2,141,005,441
  5. Step 5: Solve for x
    x = 2,141,005,441/22,110
  6. Step 6: Final answer
    x = 96,834.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.