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Finding the Third Proportional to 12,172.50 and 25,574.88

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Solution

The third proportional to 12,172.50 and 25,574.88 is: 53,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.50 : 25,574.88 = 25,574.88 : x
  2. Step 2: Convert to fraction form
    12,172.50/25,574.88 = 25,574.88/x
  3. Step 3: Cross multiply
    12,172.50x = 25,574.88 × 25,574.88
  4. Step 4: Simplify right side
    12,172.50x = 654,074,231.27
  5. Step 5: Solve for x
    x = 654,074,231.27/12,172.50
  6. Step 6: Final answer
    x = 53,733.76

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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.