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Finding the Third Proportional to 17,530.88 and 23,950.97

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Solution

The third proportional to 17,530.88 and 23,950.97 is: 32,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.88 : 23,950.97 = 23,950.97 : x
  2. Step 2: Convert to fraction form
    17,530.88/23,950.97 = 23,950.97/x
  3. Step 3: Cross multiply
    17,530.88x = 23,950.97 × 23,950.97
  4. Step 4: Simplify right side
    17,530.88x = 573,648,904.06
  5. Step 5: Solve for x
    x = 573,648,904.06/17,530.88
  6. Step 6: Final answer
    x = 32,722.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.