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Finding the Third Proportional to 9,132.33 and 19,675.41

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Solution

The third proportional to 9,132.33 and 19,675.41 is: 42,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.33 : 19,675.41 = 19,675.41 : x
  2. Step 2: Convert to fraction form
    9,132.33/19,675.41 = 19,675.41/x
  3. Step 3: Cross multiply
    9,132.33x = 19,675.41 × 19,675.41
  4. Step 4: Simplify right side
    9,132.33x = 387,121,611.10
  5. Step 5: Solve for x
    x = 387,121,611.10/9,132.33
  6. Step 6: Final answer
    x = 42,390.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.