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Finding the Third Proportional to 4,119.19 and 5,663.81

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Solution

The third proportional to 4,119.19 and 5,663.81 is: 7,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.19 : 5,663.81 = 5,663.81 : x
  2. Step 2: Convert to fraction form
    4,119.19/5,663.81 = 5,663.81/x
  3. Step 3: Cross multiply
    4,119.19x = 5,663.81 × 5,663.81
  4. Step 4: Simplify right side
    4,119.19x = 32,078,772.04
  5. Step 5: Solve for x
    x = 32,078,772.04/4,119.19
  6. Step 6: Final answer
    x = 7,787.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.