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Finding the Third Proportional to 9,324 and 18,641.25

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Solution

The third proportional to 9,324 and 18,641.25 is: 37,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324 : 18,641.25 = 18,641.25 : x
  2. Step 2: Convert to fraction form
    9,324/18,641.25 = 18,641.25/x
  3. Step 3: Cross multiply
    9,324x = 18,641.25 × 18,641.25
  4. Step 4: Simplify right side
    9,324x = 347,496,201.56
  5. Step 5: Solve for x
    x = 347,496,201.56/9,324
  6. Step 6: Final answer
    x = 37,269.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.