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Finding the Third Proportional to 16,525.49 and 25,175.51

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Solution

The third proportional to 16,525.49 and 25,175.51 is: 38,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.49 : 25,175.51 = 25,175.51 : x
  2. Step 2: Convert to fraction form
    16,525.49/25,175.51 = 25,175.51/x
  3. Step 3: Cross multiply
    16,525.49x = 25,175.51 × 25,175.51
  4. Step 4: Simplify right side
    16,525.49x = 633,806,267.37
  5. Step 5: Solve for x
    x = 633,806,267.37/16,525.49
  6. Step 6: Final answer
    x = 38,353.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.