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Finding the Third Proportional to 12,013.31 and 17,708.63

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Solution

The third proportional to 12,013.31 and 17,708.63 is: 26,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.31 : 17,708.63 = 17,708.63 : x
  2. Step 2: Convert to fraction form
    12,013.31/17,708.63 = 17,708.63/x
  3. Step 3: Cross multiply
    12,013.31x = 17,708.63 × 17,708.63
  4. Step 4: Simplify right side
    12,013.31x = 313,595,399.39
  5. Step 5: Solve for x
    x = 313,595,399.39/12,013.31
  6. Step 6: Final answer
    x = 26,103.99

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