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Finding the Third Proportional to 19,209 and 28,647

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Solution

The third proportional to 19,209 and 28,647 is: 42,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209 : 28,647 = 28,647 : x
  2. Step 2: Convert to fraction form
    19,209/28,647 = 28,647/x
  3. Step 3: Cross multiply
    19,209x = 28,647 × 28,647
  4. Step 4: Simplify right side
    19,209x = 820,650,609
  5. Step 5: Solve for x
    x = 820,650,609/19,209
  6. Step 6: Final answer
    x = 42,722.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.