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Finding the Third Proportional to 13,785.75 and 16,215.75

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Solution

The third proportional to 13,785.75 and 16,215.75 is: 19,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.75 : 16,215.75 = 16,215.75 : x
  2. Step 2: Convert to fraction form
    13,785.75/16,215.75 = 16,215.75/x
  3. Step 3: Cross multiply
    13,785.75x = 16,215.75 × 16,215.75
  4. Step 4: Simplify right side
    13,785.75x = 262,950,548.06
  5. Step 5: Solve for x
    x = 262,950,548.06/13,785.75
  6. Step 6: Final answer
    x = 19,074.08

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.