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Finding the Third Proportional to 14,036 and 30,299

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Solution

The third proportional to 14,036 and 30,299 is: 65,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,036 : 30,299 = 30,299 : x
  2. Step 2: Convert to fraction form
    14,036/30,299 = 30,299/x
  3. Step 3: Cross multiply
    14,036x = 30,299 × 30,299
  4. Step 4: Simplify right side
    14,036x = 918,029,401
  5. Step 5: Solve for x
    x = 918,029,401/14,036
  6. Step 6: Final answer
    x = 65,405.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.