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Finding the Third Proportional to 15,993 and 34,299

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Solution

The third proportional to 15,993 and 34,299 is: 73,558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993 : 34,299 = 34,299 : x
  2. Step 2: Convert to fraction form
    15,993/34,299 = 34,299/x
  3. Step 3: Cross multiply
    15,993x = 34,299 × 34,299
  4. Step 4: Simplify right side
    15,993x = 1,176,421,401
  5. Step 5: Solve for x
    x = 1,176,421,401/15,993
  6. Step 6: Final answer
    x = 73,558.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.