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Finding the Third Proportional to 12,172.25 and 25,574.38

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Solution

The third proportional to 12,172.25 and 25,574.38 is: 53,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.25 : 25,574.38 = 25,574.38 : x
  2. Step 2: Convert to fraction form
    12,172.25/25,574.38 = 25,574.38/x
  3. Step 3: Cross multiply
    12,172.25x = 25,574.38 × 25,574.38
  4. Step 4: Simplify right side
    12,172.25x = 654,048,656.64
  5. Step 5: Solve for x
    x = 654,048,656.64/12,172.25
  6. Step 6: Final answer
    x = 53,732.77

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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.