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Finding the Third Proportional to 9,708.19 and 21,003.19

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Solution

The third proportional to 9,708.19 and 21,003.19 is: 45,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.19 : 21,003.19 = 21,003.19 : x
  2. Step 2: Convert to fraction form
    9,708.19/21,003.19 = 21,003.19/x
  3. Step 3: Cross multiply
    9,708.19x = 21,003.19 × 21,003.19
  4. Step 4: Simplify right side
    9,708.19x = 441,133,885.16
  5. Step 5: Solve for x
    x = 441,133,885.16/9,708.19
  6. Step 6: Final answer
    x = 45,439.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.