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Finding the Third Proportional to 12,462.93 and 18,498.69

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Solution

The third proportional to 12,462.93 and 18,498.69 is: 27,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.93 : 18,498.69 = 18,498.69 : x
  2. Step 2: Convert to fraction form
    12,462.93/18,498.69 = 18,498.69/x
  3. Step 3: Cross multiply
    12,462.93x = 18,498.69 × 18,498.69
  4. Step 4: Simplify right side
    12,462.93x = 342,201,583.74
  5. Step 5: Solve for x
    x = 342,201,583.74/12,462.93
  6. Step 6: Final answer
    x = 27,457.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.