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Finding the Third Proportional to 25,304 and 37,135

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Solution

The third proportional to 25,304 and 37,135 is: 54,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,304 : 37,135 = 37,135 : x
  2. Step 2: Convert to fraction form
    25,304/37,135 = 37,135/x
  3. Step 3: Cross multiply
    25,304x = 37,135 × 37,135
  4. Step 4: Simplify right side
    25,304x = 1,379,008,225
  5. Step 5: Solve for x
    x = 1,379,008,225/25,304
  6. Step 6: Final answer
    x = 54,497.64

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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.