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Finding the Third Proportional to 14,538 and 22,299

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Solution

The third proportional to 14,538 and 22,299 is: 34,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538 : 22,299 = 22,299 : x
  2. Step 2: Convert to fraction form
    14,538/22,299 = 22,299/x
  3. Step 3: Cross multiply
    14,538x = 22,299 × 22,299
  4. Step 4: Simplify right side
    14,538x = 497,245,401
  5. Step 5: Solve for x
    x = 497,245,401/14,538
  6. Step 6: Final answer
    x = 34,203.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.