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Finding the Third Proportional to 12,583.13 and 18,509.63

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Solution

The third proportional to 12,583.13 and 18,509.63 is: 27,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.13 : 18,509.63 = 18,509.63 : x
  2. Step 2: Convert to fraction form
    12,583.13/18,509.63 = 18,509.63/x
  3. Step 3: Cross multiply
    12,583.13x = 18,509.63 × 18,509.63
  4. Step 4: Simplify right side
    12,583.13x = 342,606,217.64
  5. Step 5: Solve for x
    x = 342,606,217.64/12,583.13
  6. Step 6: Final answer
    x = 27,227.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.