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Finding the Third Proportional to 6,560 and 13,504

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Solution

The third proportional to 6,560 and 13,504 is: 27,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560 : 13,504 = 13,504 : x
  2. Step 2: Convert to fraction form
    6,560/13,504 = 13,504/x
  3. Step 3: Cross multiply
    6,560x = 13,504 × 13,504
  4. Step 4: Simplify right side
    6,560x = 182,358,016
  5. Step 5: Solve for x
    x = 182,358,016/6,560
  6. Step 6: Final answer
    x = 27,798.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.