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Finding the Third Proportional to 23,525.44 and 41,477.06

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Solution

The third proportional to 23,525.44 and 41,477.06 is: 73,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.44 : 41,477.06 = 41,477.06 : x
  2. Step 2: Convert to fraction form
    23,525.44/41,477.06 = 41,477.06/x
  3. Step 3: Cross multiply
    23,525.44x = 41,477.06 × 41,477.06
  4. Step 4: Simplify right side
    23,525.44x = 1,720,346,713.63
  5. Step 5: Solve for x
    x = 1,720,346,713.63/23,525.44
  6. Step 6: Final answer
    x = 73,127.09

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.