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Finding the Third Proportional to 25,962 and 57,765

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Solution

The third proportional to 25,962 and 57,765 is: 128,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,962 : 57,765 = 57,765 : x
  2. Step 2: Convert to fraction form
    25,962/57,765 = 57,765/x
  3. Step 3: Cross multiply
    25,962x = 57,765 × 57,765
  4. Step 4: Simplify right side
    25,962x = 3,336,795,225
  5. Step 5: Solve for x
    x = 3,336,795,225/25,962
  6. Step 6: Final answer
    x = 128,526.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.