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Finding the Third Proportional to 18,947 and 28,420

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Solution

The third proportional to 18,947 and 28,420 is: 42,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,947 : 28,420 = 28,420 : x
  2. Step 2: Convert to fraction form
    18,947/28,420 = 28,420/x
  3. Step 3: Cross multiply
    18,947x = 28,420 × 28,420
  4. Step 4: Simplify right side
    18,947x = 807,696,400
  5. Step 5: Solve for x
    x = 807,696,400/18,947
  6. Step 6: Final answer
    x = 42,629.25

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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.