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Finding the Third Proportional to 9,104.06 and 19,810.41

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Solution

The third proportional to 9,104.06 and 19,810.41 is: 43,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.06 : 19,810.41 = 19,810.41 : x
  2. Step 2: Convert to fraction form
    9,104.06/19,810.41 = 19,810.41/x
  3. Step 3: Cross multiply
    9,104.06x = 19,810.41 × 19,810.41
  4. Step 4: Simplify right side
    9,104.06x = 392,452,195.79
  5. Step 5: Solve for x
    x = 392,452,195.79/9,104.06
  6. Step 6: Final answer
    x = 43,107.37

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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.