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Finding the Third Proportional to 25,919 and 38,871

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Solution

The third proportional to 25,919 and 38,871 is: 58,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,919 : 38,871 = 38,871 : x
  2. Step 2: Convert to fraction form
    25,919/38,871 = 38,871/x
  3. Step 3: Cross multiply
    25,919x = 38,871 × 38,871
  4. Step 4: Simplify right side
    25,919x = 1,510,954,641
  5. Step 5: Solve for x
    x = 1,510,954,641/25,919
  6. Step 6: Final answer
    x = 58,295.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.