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Finding the Third Proportional to 4,009.92 and 6,223.92

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Solution

The third proportional to 4,009.92 and 6,223.92 is: 9,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.92 : 6,223.92 = 6,223.92 : x
  2. Step 2: Convert to fraction form
    4,009.92/6,223.92 = 6,223.92/x
  3. Step 3: Cross multiply
    4,009.92x = 6,223.92 × 6,223.92
  4. Step 4: Simplify right side
    4,009.92x = 38,737,203.51
  5. Step 5: Solve for x
    x = 38,737,203.51/4,009.92
  6. Step 6: Final answer
    x = 9,660.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.