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Finding the Third Proportional to 4,356.38 and 5,853.38

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Solution

The third proportional to 4,356.38 and 5,853.38 is: 7,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.38 : 5,853.38 = 5,853.38 : x
  2. Step 2: Convert to fraction form
    4,356.38/5,853.38 = 5,853.38/x
  3. Step 3: Cross multiply
    4,356.38x = 5,853.38 × 5,853.38
  4. Step 4: Simplify right side
    4,356.38x = 34,261,998.89
  5. Step 5: Solve for x
    x = 34,261,998.89/4,356.38
  6. Step 6: Final answer
    x = 7,864.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.