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Finding the Third Proportional to 25,912 and 38,017

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Solution

The third proportional to 25,912 and 38,017 is: 55,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912 : 38,017 = 38,017 : x
  2. Step 2: Convert to fraction form
    25,912/38,017 = 38,017/x
  3. Step 3: Cross multiply
    25,912x = 38,017 × 38,017
  4. Step 4: Simplify right side
    25,912x = 1,445,292,289
  5. Step 5: Solve for x
    x = 1,445,292,289/25,912
  6. Step 6: Final answer
    x = 55,776.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.