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Finding the Third Proportional to 25,330 and 58,086

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Solution

The third proportional to 25,330 and 58,086 is: 133,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,330 : 58,086 = 58,086 : x
  2. Step 2: Convert to fraction form
    25,330/58,086 = 58,086/x
  3. Step 3: Cross multiply
    25,330x = 58,086 × 58,086
  4. Step 4: Simplify right side
    25,330x = 3,373,983,396
  5. Step 5: Solve for x
    x = 3,373,983,396/25,330
  6. Step 6: Final answer
    x = 133,201.08

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.