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Finding the Third Proportional to 25,186.50 and 52,959.38

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Solution

The third proportional to 25,186.50 and 52,959.38 is: 111,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,186.50 : 52,959.38 = 52,959.38 : x
  2. Step 2: Convert to fraction form
    25,186.50/52,959.38 = 52,959.38/x
  3. Step 3: Cross multiply
    25,186.50x = 52,959.38 × 52,959.38
  4. Step 4: Simplify right side
    25,186.50x = 2,804,695,400.39
  5. Step 5: Solve for x
    x = 2,804,695,400.39/25,186.50
  6. Step 6: Final answer
    x = 111,357.09

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.