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Finding the Third Proportional to 6,576 and 12,222

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Solution

The third proportional to 6,576 and 12,222 is: 22,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576 : 12,222 = 12,222 : x
  2. Step 2: Convert to fraction form
    6,576/12,222 = 12,222/x
  3. Step 3: Cross multiply
    6,576x = 12,222 × 12,222
  4. Step 4: Simplify right side
    6,576x = 149,377,284
  5. Step 5: Solve for x
    x = 149,377,284/6,576
  6. Step 6: Final answer
    x = 22,715.52

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.