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Finding the Third Proportional to 20,514.50 and 48,299

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Solution

The third proportional to 20,514.50 and 48,299 is: 113,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.50 : 48,299 = 48,299 : x
  2. Step 2: Convert to fraction form
    20,514.50/48,299 = 48,299/x
  3. Step 3: Cross multiply
    20,514.50x = 48,299 × 48,299
  4. Step 4: Simplify right side
    20,514.50x = 2,332,793,401
  5. Step 5: Solve for x
    x = 2,332,793,401/20,514.50
  6. Step 6: Final answer
    x = 113,714.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.