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Finding the Third Proportional to 19,519 and 25,948

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Solution

The third proportional to 19,519 and 25,948 is: 34,494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,519 : 25,948 = 25,948 : x
  2. Step 2: Convert to fraction form
    19,519/25,948 = 25,948/x
  3. Step 3: Cross multiply
    19,519x = 25,948 × 25,948
  4. Step 4: Simplify right side
    19,519x = 673,298,704
  5. Step 5: Solve for x
    x = 673,298,704/19,519
  6. Step 6: Final answer
    x = 34,494.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.