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Finding the Third Proportional to 25,336 and 38,156

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Solution

The third proportional to 25,336 and 38,156 is: 57,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,336 : 38,156 = 38,156 : x
  2. Step 2: Convert to fraction form
    25,336/38,156 = 38,156/x
  3. Step 3: Cross multiply
    25,336x = 38,156 × 38,156
  4. Step 4: Simplify right side
    25,336x = 1,455,880,336
  5. Step 5: Solve for x
    x = 1,455,880,336/25,336
  6. Step 6: Final answer
    x = 57,462.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.