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Finding the Third Proportional to 7,525.41 and 13,402.97

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Solution

The third proportional to 7,525.41 and 13,402.97 is: 23,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.41 : 13,402.97 = 13,402.97 : x
  2. Step 2: Convert to fraction form
    7,525.41/13,402.97 = 13,402.97/x
  3. Step 3: Cross multiply
    7,525.41x = 13,402.97 × 13,402.97
  4. Step 4: Simplify right side
    7,525.41x = 179,639,571.31
  5. Step 5: Solve for x
    x = 179,639,571.31/7,525.41
  6. Step 6: Final answer
    x = 23,871.08

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.