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Finding the Third Proportional to 6,600 and 13,488

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Solution

The third proportional to 6,600 and 13,488 is: 27,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600 : 13,488 = 13,488 : x
  2. Step 2: Convert to fraction form
    6,600/13,488 = 13,488/x
  3. Step 3: Cross multiply
    6,600x = 13,488 × 13,488
  4. Step 4: Simplify right side
    6,600x = 181,926,144
  5. Step 5: Solve for x
    x = 181,926,144/6,600
  6. Step 6: Final answer
    x = 27,564.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.