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Finding the Third Proportional to 5,919 and 9,769.50

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Solution

The third proportional to 5,919 and 9,769.50 is: 16,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919 : 9,769.50 = 9,769.50 : x
  2. Step 2: Convert to fraction form
    5,919/9,769.50 = 9,769.50/x
  3. Step 3: Cross multiply
    5,919x = 9,769.50 × 9,769.50
  4. Step 4: Simplify right side
    5,919x = 95,443,130.25
  5. Step 5: Solve for x
    x = 95,443,130.25/5,919
  6. Step 6: Final answer
    x = 16,124.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.