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Finding the Third Proportional to 25,050 and 58,245

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Solution

The third proportional to 25,050 and 58,245 is: 135,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,050 : 58,245 = 58,245 : x
  2. Step 2: Convert to fraction form
    25,050/58,245 = 58,245/x
  3. Step 3: Cross multiply
    25,050x = 58,245 × 58,245
  4. Step 4: Simplify right side
    25,050x = 3,392,480,025
  5. Step 5: Solve for x
    x = 3,392,480,025/25,050
  6. Step 6: Final answer
    x = 135,428.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.