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Finding the Third Proportional to 10,338.88 and 13,518.75

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Solution

The third proportional to 10,338.88 and 13,518.75 is: 17,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.88 : 13,518.75 = 13,518.75 : x
  2. Step 2: Convert to fraction form
    10,338.88/13,518.75 = 13,518.75/x
  3. Step 3: Cross multiply
    10,338.88x = 13,518.75 × 13,518.75
  4. Step 4: Simplify right side
    10,338.88x = 182,756,601.56
  5. Step 5: Solve for x
    x = 182,756,601.56/10,338.88
  6. Step 6: Final answer
    x = 17,676.64

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.