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Finding the Third Proportional to 25,692 and 38,361

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Solution

The third proportional to 25,692 and 38,361 is: 57,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692 : 38,361 = 38,361 : x
  2. Step 2: Convert to fraction form
    25,692/38,361 = 38,361/x
  3. Step 3: Cross multiply
    25,692x = 38,361 × 38,361
  4. Step 4: Simplify right side
    25,692x = 1,471,566,321
  5. Step 5: Solve for x
    x = 1,471,566,321/25,692
  6. Step 6: Final answer
    x = 57,277.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.