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Finding the Third Proportional to 12,559.31 and 17,103.75

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Solution

The third proportional to 12,559.31 and 17,103.75 is: 23,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559.31 : 17,103.75 = 17,103.75 : x
  2. Step 2: Convert to fraction form
    12,559.31/17,103.75 = 17,103.75/x
  3. Step 3: Cross multiply
    12,559.31x = 17,103.75 × 17,103.75
  4. Step 4: Simplify right side
    12,559.31x = 292,538,264.06
  5. Step 5: Solve for x
    x = 292,538,264.06/12,559.31
  6. Step 6: Final answer
    x = 23,292.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.