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Finding the Third Proportional to 9,674.44 and 21,194.16

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Solution

The third proportional to 9,674.44 and 21,194.16 is: 46,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.44 : 21,194.16 = 21,194.16 : x
  2. Step 2: Convert to fraction form
    9,674.44/21,194.16 = 21,194.16/x
  3. Step 3: Cross multiply
    9,674.44x = 21,194.16 × 21,194.16
  4. Step 4: Simplify right side
    9,674.44x = 449,192,259.15
  5. Step 5: Solve for x
    x = 449,192,259.15/9,674.44
  6. Step 6: Final answer
    x = 46,430.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.