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Finding the Third Proportional to 25,324 and 38,098

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Solution

The third proportional to 25,324 and 38,098 is: 57,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,324 : 38,098 = 38,098 : x
  2. Step 2: Convert to fraction form
    25,324/38,098 = 38,098/x
  3. Step 3: Cross multiply
    25,324x = 38,098 × 38,098
  4. Step 4: Simplify right side
    25,324x = 1,451,457,604
  5. Step 5: Solve for x
    x = 1,451,457,604/25,324
  6. Step 6: Final answer
    x = 57,315.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.