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Finding the Third Proportional to 12,576 and 19,248

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Solution

The third proportional to 12,576 and 19,248 is: 29,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 19,248 = 19,248 : x
  2. Step 2: Convert to fraction form
    12,576/19,248 = 19,248/x
  3. Step 3: Cross multiply
    12,576x = 19,248 × 19,248
  4. Step 4: Simplify right side
    12,576x = 370,485,504
  5. Step 5: Solve for x
    x = 370,485,504/12,576
  6. Step 6: Final answer
    x = 29,459.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.