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Finding the Third Proportional to 4,407.38 and 6,821.25

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Solution

The third proportional to 4,407.38 and 6,821.25 is: 10,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.38 : 6,821.25 = 6,821.25 : x
  2. Step 2: Convert to fraction form
    4,407.38/6,821.25 = 6,821.25/x
  3. Step 3: Cross multiply
    4,407.38x = 6,821.25 × 6,821.25
  4. Step 4: Simplify right side
    4,407.38x = 46,529,451.56
  5. Step 5: Solve for x
    x = 46,529,451.56/4,407.38
  6. Step 6: Final answer
    x = 10,557.18

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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.