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Finding the Third Proportional to 25,878 and 40,085

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Solution

The third proportional to 25,878 and 40,085 is: 62,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878 : 40,085 = 40,085 : x
  2. Step 2: Convert to fraction form
    25,878/40,085 = 40,085/x
  3. Step 3: Cross multiply
    25,878x = 40,085 × 40,085
  4. Step 4: Simplify right side
    25,878x = 1,606,807,225
  5. Step 5: Solve for x
    x = 1,606,807,225/25,878
  6. Step 6: Final answer
    x = 62,091.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.