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Finding the Third Proportional to 25,898 and 38,832

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Solution

The third proportional to 25,898 and 38,832 is: 58,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898 : 38,832 = 38,832 : x
  2. Step 2: Convert to fraction form
    25,898/38,832 = 38,832/x
  3. Step 3: Cross multiply
    25,898x = 38,832 × 38,832
  4. Step 4: Simplify right side
    25,898x = 1,507,924,224
  5. Step 5: Solve for x
    x = 1,507,924,224/25,898
  6. Step 6: Final answer
    x = 58,225.51

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Why These Related Problems?

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