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Finding the Third Proportional to 7,706 and 11,284

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Solution

The third proportional to 7,706 and 11,284 is: 16,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706 : 11,284 = 11,284 : x
  2. Step 2: Convert to fraction form
    7,706/11,284 = 11,284/x
  3. Step 3: Cross multiply
    7,706x = 11,284 × 11,284
  4. Step 4: Simplify right side
    7,706x = 127,328,656
  5. Step 5: Solve for x
    x = 127,328,656/7,706
  6. Step 6: Final answer
    x = 16,523.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.