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Finding the Third Proportional to 9,957.30 and 21,661.17

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Solution

The third proportional to 9,957.30 and 21,661.17 is: 47,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.30 : 21,661.17 = 21,661.17 : x
  2. Step 2: Convert to fraction form
    9,957.30/21,661.17 = 21,661.17/x
  3. Step 3: Cross multiply
    9,957.30x = 21,661.17 × 21,661.17
  4. Step 4: Simplify right side
    9,957.30x = 469,206,367.00
  5. Step 5: Solve for x
    x = 469,206,367.00/9,957.30
  6. Step 6: Final answer
    x = 47,121.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.