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Finding the Third Proportional to 18,790 and 28,132

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Solution

The third proportional to 18,790 and 28,132 is: 42,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,790 : 28,132 = 28,132 : x
  2. Step 2: Convert to fraction form
    18,790/28,132 = 28,132/x
  3. Step 3: Cross multiply
    18,790x = 28,132 × 28,132
  4. Step 4: Simplify right side
    18,790x = 791,409,424
  5. Step 5: Solve for x
    x = 791,409,424/18,790
  6. Step 6: Final answer
    x = 42,118.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.