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Finding the Third Proportional to 8,319.19 and 18,096.28

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Solution

The third proportional to 8,319.19 and 18,096.28 is: 39,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.19 : 18,096.28 = 18,096.28 : x
  2. Step 2: Convert to fraction form
    8,319.19/18,096.28 = 18,096.28/x
  3. Step 3: Cross multiply
    8,319.19x = 18,096.28 × 18,096.28
  4. Step 4: Simplify right side
    8,319.19x = 327,475,395.08
  5. Step 5: Solve for x
    x = 327,475,395.08/8,319.19
  6. Step 6: Final answer
    x = 39,363.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.