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Finding the Third Proportional to 17,904 and 19,248

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Solution

The third proportional to 17,904 and 19,248 is: 20,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904 : 19,248 = 19,248 : x
  2. Step 2: Convert to fraction form
    17,904/19,248 = 19,248/x
  3. Step 3: Cross multiply
    17,904x = 19,248 × 19,248
  4. Step 4: Simplify right side
    17,904x = 370,485,504
  5. Step 5: Solve for x
    x = 370,485,504/17,904
  6. Step 6: Final answer
    x = 20,692.89

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.