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Finding the Third Proportional to 23,106.09 and 35,638.73

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Solution

The third proportional to 23,106.09 and 35,638.73 is: 54,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.09 : 35,638.73 = 35,638.73 : x
  2. Step 2: Convert to fraction form
    23,106.09/35,638.73 = 35,638.73/x
  3. Step 3: Cross multiply
    23,106.09x = 35,638.73 × 35,638.73
  4. Step 4: Simplify right side
    23,106.09x = 1,270,119,387.85
  5. Step 5: Solve for x
    x = 1,270,119,387.85/23,106.09
  6. Step 6: Final answer
    x = 54,969.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.