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Finding the Third Proportional to 23,764.13 and 52,175.63

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Solution

The third proportional to 23,764.13 and 52,175.63 is: 114,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764.13 : 52,175.63 = 52,175.63 : x
  2. Step 2: Convert to fraction form
    23,764.13/52,175.63 = 52,175.63/x
  3. Step 3: Cross multiply
    23,764.13x = 52,175.63 × 52,175.63
  4. Step 4: Simplify right side
    23,764.13x = 2,722,295,844.14
  5. Step 5: Solve for x
    x = 2,722,295,844.14/23,764.13
  6. Step 6: Final answer
    x = 114,554.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.