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Finding the Third Proportional to 25,912 and 40,013

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Solution

The third proportional to 25,912 and 40,013 is: 61,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912 : 40,013 = 40,013 : x
  2. Step 2: Convert to fraction form
    25,912/40,013 = 40,013/x
  3. Step 3: Cross multiply
    25,912x = 40,013 × 40,013
  4. Step 4: Simplify right side
    25,912x = 1,601,040,169
  5. Step 5: Solve for x
    x = 1,601,040,169/25,912
  6. Step 6: Final answer
    x = 61,787.60

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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.