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Finding the Third Proportional to 9,427.13 and 18,616.31

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Solution

The third proportional to 9,427.13 and 18,616.31 is: 36,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.13 : 18,616.31 = 18,616.31 : x
  2. Step 2: Convert to fraction form
    9,427.13/18,616.31 = 18,616.31/x
  3. Step 3: Cross multiply
    9,427.13x = 18,616.31 × 18,616.31
  4. Step 4: Simplify right side
    9,427.13x = 346,567,091.10
  5. Step 5: Solve for x
    x = 346,567,091.10/9,427.13
  6. Step 6: Final answer
    x = 36,762.76

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.