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Finding the Third Proportional to 18,785 and 26,261

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Solution

The third proportional to 18,785 and 26,261 is: 36,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,785 : 26,261 = 26,261 : x
  2. Step 2: Convert to fraction form
    18,785/26,261 = 26,261/x
  3. Step 3: Cross multiply
    18,785x = 26,261 × 26,261
  4. Step 4: Simplify right side
    18,785x = 689,640,121
  5. Step 5: Solve for x
    x = 689,640,121/18,785
  6. Step 6: Final answer
    x = 36,712.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.