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Finding the Third Proportional to 18,962 and 26,560

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Solution

The third proportional to 18,962 and 26,560 is: 37,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,962 : 26,560 = 26,560 : x
  2. Step 2: Convert to fraction form
    18,962/26,560 = 26,560/x
  3. Step 3: Cross multiply
    18,962x = 26,560 × 26,560
  4. Step 4: Simplify right side
    18,962x = 705,433,600
  5. Step 5: Solve for x
    x = 705,433,600/18,962
  6. Step 6: Final answer
    x = 37,202.49

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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.