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Finding the Third Proportional to 18,598 and 26,073

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Solution

The third proportional to 18,598 and 26,073 is: 36,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598 : 26,073 = 26,073 : x
  2. Step 2: Convert to fraction form
    18,598/26,073 = 26,073/x
  3. Step 3: Cross multiply
    18,598x = 26,073 × 26,073
  4. Step 4: Simplify right side
    18,598x = 679,801,329
  5. Step 5: Solve for x
    x = 679,801,329/18,598
  6. Step 6: Final answer
    x = 36,552.39

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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.