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Finding the Third Proportional to 18,446 and 28,370

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Solution

The third proportional to 18,446 and 28,370 is: 43,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,446 : 28,370 = 28,370 : x
  2. Step 2: Convert to fraction form
    18,446/28,370 = 28,370/x
  3. Step 3: Cross multiply
    18,446x = 28,370 × 28,370
  4. Step 4: Simplify right side
    18,446x = 804,856,900
  5. Step 5: Solve for x
    x = 804,856,900/18,446
  6. Step 6: Final answer
    x = 43,633.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.