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Finding the Third Proportional to 18,947 and 28,421

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Solution

The third proportional to 18,947 and 28,421 is: 42,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,947 : 28,421 = 28,421 : x
  2. Step 2: Convert to fraction form
    18,947/28,421 = 28,421/x
  3. Step 3: Cross multiply
    18,947x = 28,421 × 28,421
  4. Step 4: Simplify right side
    18,947x = 807,753,241
  5. Step 5: Solve for x
    x = 807,753,241/18,947
  6. Step 6: Final answer
    x = 42,632.25

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