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Finding the Third Proportional to 25,974 and 38,789

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Solution

The third proportional to 25,974 and 38,789 is: 57,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,974 : 38,789 = 38,789 : x
  2. Step 2: Convert to fraction form
    25,974/38,789 = 38,789/x
  3. Step 3: Cross multiply
    25,974x = 38,789 × 38,789
  4. Step 4: Simplify right side
    25,974x = 1,504,586,521
  5. Step 5: Solve for x
    x = 1,504,586,521/25,974
  6. Step 6: Final answer
    x = 57,926.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.