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Finding the Third Proportional to 13,248 and 17,248

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Solution

The third proportional to 13,248 and 17,248 is: 22,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248 : 17,248 = 17,248 : x
  2. Step 2: Convert to fraction form
    13,248/17,248 = 17,248/x
  3. Step 3: Cross multiply
    13,248x = 17,248 × 17,248
  4. Step 4: Simplify right side
    13,248x = 297,493,504
  5. Step 5: Solve for x
    x = 297,493,504/13,248
  6. Step 6: Final answer
    x = 22,455.73

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.