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Finding the Third Proportional to 25,954 and 40,142

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Solution

The third proportional to 25,954 and 40,142 is: 62,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,954 : 40,142 = 40,142 : x
  2. Step 2: Convert to fraction form
    25,954/40,142 = 40,142/x
  3. Step 3: Cross multiply
    25,954x = 40,142 × 40,142
  4. Step 4: Simplify right side
    25,954x = 1,611,380,164
  5. Step 5: Solve for x
    x = 1,611,380,164/25,954
  6. Step 6: Final answer
    x = 62,086.00

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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.