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Finding the Third Proportional to 18,519 and 28,678.50

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Solution

The third proportional to 18,519 and 28,678.50 is: 44,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,519 : 28,678.50 = 28,678.50 : x
  2. Step 2: Convert to fraction form
    18,519/28,678.50 = 28,678.50/x
  3. Step 3: Cross multiply
    18,519x = 28,678.50 × 28,678.50
  4. Step 4: Simplify right side
    18,519x = 822,456,362.25
  5. Step 5: Solve for x
    x = 822,456,362.25/18,519
  6. Step 6: Final answer
    x = 44,411.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.