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Finding the Third Proportional to 25,176 and 38,859

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Solution

The third proportional to 25,176 and 38,859 is: 59,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176 : 38,859 = 38,859 : x
  2. Step 2: Convert to fraction form
    25,176/38,859 = 38,859/x
  3. Step 3: Cross multiply
    25,176x = 38,859 × 38,859
  4. Step 4: Simplify right side
    25,176x = 1,510,021,881
  5. Step 5: Solve for x
    x = 1,510,021,881/25,176
  6. Step 6: Final answer
    x = 59,978.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.