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Finding the Third Proportional to 12,475 and 27,299

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Solution

The third proportional to 12,475 and 27,299 is: 59,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475 : 27,299 = 27,299 : x
  2. Step 2: Convert to fraction form
    12,475/27,299 = 27,299/x
  3. Step 3: Cross multiply
    12,475x = 27,299 × 27,299
  4. Step 4: Simplify right side
    12,475x = 745,235,401
  5. Step 5: Solve for x
    x = 745,235,401/12,475
  6. Step 6: Final answer
    x = 59,738.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.