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Finding the Third Proportional to 18,701 and 28,753

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Solution

The third proportional to 18,701 and 28,753 is: 44,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,701 : 28,753 = 28,753 : x
  2. Step 2: Convert to fraction form
    18,701/28,753 = 28,753/x
  3. Step 3: Cross multiply
    18,701x = 28,753 × 28,753
  4. Step 4: Simplify right side
    18,701x = 826,735,009
  5. Step 5: Solve for x
    x = 826,735,009/18,701
  6. Step 6: Final answer
    x = 44,208.06

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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.