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Finding the Third Proportional to 22,834 and 26,258

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Solution

The third proportional to 22,834 and 26,258 is: 30,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,834 : 26,258 = 26,258 : x
  2. Step 2: Convert to fraction form
    22,834/26,258 = 26,258/x
  3. Step 3: Cross multiply
    22,834x = 26,258 × 26,258
  4. Step 4: Simplify right side
    22,834x = 689,482,564
  5. Step 5: Solve for x
    x = 689,482,564/22,834
  6. Step 6: Final answer
    x = 30,195.44

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.