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Finding the Third Proportional to 23,525.44 and 51,060.38

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Solution

The third proportional to 23,525.44 and 51,060.38 is: 110,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.44 : 51,060.38 = 51,060.38 : x
  2. Step 2: Convert to fraction form
    23,525.44/51,060.38 = 51,060.38/x
  3. Step 3: Cross multiply
    23,525.44x = 51,060.38 × 51,060.38
  4. Step 4: Simplify right side
    23,525.44x = 2,607,161,895.14
  5. Step 5: Solve for x
    x = 2,607,161,895.14/23,525.44
  6. Step 6: Final answer
    x = 110,823.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.