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Finding the Third Proportional to 25,346.25 and 52,299

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Solution

The third proportional to 25,346.25 and 52,299 is: 107,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,346.25 : 52,299 = 52,299 : x
  2. Step 2: Convert to fraction form
    25,346.25/52,299 = 52,299/x
  3. Step 3: Cross multiply
    25,346.25x = 52,299 × 52,299
  4. Step 4: Simplify right side
    25,346.25x = 2,735,185,401
  5. Step 5: Solve for x
    x = 2,735,185,401/25,346.25
  6. Step 6: Final answer
    x = 107,912.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.