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Finding the Third Proportional to 25,317 and 37,150

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Solution

The third proportional to 25,317 and 37,150 is: 54,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,317 : 37,150 = 37,150 : x
  2. Step 2: Convert to fraction form
    25,317/37,150 = 37,150/x
  3. Step 3: Cross multiply
    25,317x = 37,150 × 37,150
  4. Step 4: Simplify right side
    25,317x = 1,380,122,500
  5. Step 5: Solve for x
    x = 1,380,122,500/25,317
  6. Step 6: Final answer
    x = 54,513.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.