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Finding the Third Proportional to 25,045 and 38,199

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Solution

The third proportional to 25,045 and 38,199 is: 58,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,045 : 38,199 = 38,199 : x
  2. Step 2: Convert to fraction form
    25,045/38,199 = 38,199/x
  3. Step 3: Cross multiply
    25,045x = 38,199 × 38,199
  4. Step 4: Simplify right side
    25,045x = 1,459,163,601
  5. Step 5: Solve for x
    x = 1,459,163,601/25,045
  6. Step 6: Final answer
    x = 58,261.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.