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Finding the Third Proportional to 5,780 and 9,198.50

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Solution

The third proportional to 5,780 and 9,198.50 is: 14,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 9,198.50 = 9,198.50 : x
  2. Step 2: Convert to fraction form
    5,780/9,198.50 = 9,198.50/x
  3. Step 3: Cross multiply
    5,780x = 9,198.50 × 9,198.50
  4. Step 4: Simplify right side
    5,780x = 84,612,402.25
  5. Step 5: Solve for x
    x = 84,612,402.25/5,780
  6. Step 6: Final answer
    x = 14,638.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.