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Finding the Third Proportional to 18,514 and 38,964

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Solution

The third proportional to 18,514 and 38,964 is: 82,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514 : 38,964 = 38,964 : x
  2. Step 2: Convert to fraction form
    18,514/38,964 = 38,964/x
  3. Step 3: Cross multiply
    18,514x = 38,964 × 38,964
  4. Step 4: Simplify right side
    18,514x = 1,518,193,296
  5. Step 5: Solve for x
    x = 1,518,193,296/18,514
  6. Step 6: Final answer
    x = 82,002.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.