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Finding the Third Proportional to 25,308 and 37,845

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Solution

The third proportional to 25,308 and 37,845 is: 56,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,308 : 37,845 = 37,845 : x
  2. Step 2: Convert to fraction form
    25,308/37,845 = 37,845/x
  3. Step 3: Cross multiply
    25,308x = 37,845 × 37,845
  4. Step 4: Simplify right side
    25,308x = 1,432,244,025
  5. Step 5: Solve for x
    x = 1,432,244,025/25,308
  6. Step 6: Final answer
    x = 56,592.54

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