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Finding the Third Proportional to 19,543 and 30,299

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Solution

The third proportional to 19,543 and 30,299 is: 46,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,543 : 30,299 = 30,299 : x
  2. Step 2: Convert to fraction form
    19,543/30,299 = 30,299/x
  3. Step 3: Cross multiply
    19,543x = 30,299 × 30,299
  4. Step 4: Simplify right side
    19,543x = 918,029,401
  5. Step 5: Solve for x
    x = 918,029,401/19,543
  6. Step 6: Final answer
    x = 46,974.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.