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Finding the Third Proportional to 4,647.38 and 9,773.16

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Solution

The third proportional to 4,647.38 and 9,773.16 is: 20,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.38 : 9,773.16 = 9,773.16 : x
  2. Step 2: Convert to fraction form
    4,647.38/9,773.16 = 9,773.16/x
  3. Step 3: Cross multiply
    4,647.38x = 9,773.16 × 9,773.16
  4. Step 4: Simplify right side
    4,647.38x = 95,514,583.09
  5. Step 5: Solve for x
    x = 95,514,583.09/4,647.38
  6. Step 6: Final answer
    x = 20,552.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.