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Finding the Third Proportional to 22,257 and 34,662

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Solution

The third proportional to 22,257 and 34,662 is: 53,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257 : 34,662 = 34,662 : x
  2. Step 2: Convert to fraction form
    22,257/34,662 = 34,662/x
  3. Step 3: Cross multiply
    22,257x = 34,662 × 34,662
  4. Step 4: Simplify right side
    22,257x = 1,201,454,244
  5. Step 5: Solve for x
    x = 1,201,454,244/22,257
  6. Step 6: Final answer
    x = 53,980.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.