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Finding the Third Proportional to 25,372 and 37,228

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Solution

The third proportional to 25,372 and 37,228 is: 54,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,372 : 37,228 = 37,228 : x
  2. Step 2: Convert to fraction form
    25,372/37,228 = 37,228/x
  3. Step 3: Cross multiply
    25,372x = 37,228 × 37,228
  4. Step 4: Simplify right side
    25,372x = 1,385,923,984
  5. Step 5: Solve for x
    x = 1,385,923,984/25,372
  6. Step 6: Final answer
    x = 54,624.15

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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.